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Original
2026-01-01
Modified
2026-02-28
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<p>215 Learners</p>
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<p>237 Learners</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>If a number is multiplied by the same number, the result is a square. The inverse of the square is a square root. The square root is used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 2720.</p>
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<p>If a number is multiplied by the same number, the result is a square. The inverse of the square is a square root. The square root is used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 2720.</p>
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<h2>What is the Square Root of 2720?</h2>
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<h2>What is the Square Root of 2720?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 2720 is not a<a>perfect square</a>. The square root of 2720 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √2720, whereas (2720)^(1/2) in exponential form. √2720 ≈ 52.1536, which is an<a>irrational number</a>because it cannot be expressed in the form of p/q, where p and q are<a>integers</a>and q ≠ 0.</p>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 2720 is not a<a>perfect square</a>. The square root of 2720 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √2720, whereas (2720)^(1/2) in exponential form. √2720 ≈ 52.1536, which is an<a>irrational number</a>because it cannot be expressed in the form of p/q, where p and q are<a>integers</a>and q ≠ 0.</p>
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<h2>Finding the Square Root of 2720</h2>
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<h2>Finding the Square Root of 2720</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, for non-perfect square numbers, the<a>long division</a>method and approximation method are used. Let us now learn the following methods:</p>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, for non-perfect square numbers, the<a>long division</a>method and approximation method are used. Let us now learn the following methods:</p>
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<ul><li>Prime factorization method</li>
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<ul><li>Prime factorization method</li>
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<li>Long division method</li>
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<li>Long division method</li>
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<li>Approximation method</li>
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<li>Approximation method</li>
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</ul><h2>Square Root of 2720 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 2720 by Prime Factorization Method</h2>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 2720 is broken down into its prime factors.</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 2720 is broken down into its prime factors.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 2720 Breaking it down, we get 2 x 2 x 2 x 2 x 5 x 17: 2^4 x 5 x 17</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 2720 Breaking it down, we get 2 x 2 x 2 x 2 x 5 x 17: 2^4 x 5 x 17</p>
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<p><strong>Step 2:</strong>Now we found the prime factors of 2720. The second step is to make pairs of those prime factors.</p>
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<p><strong>Step 2:</strong>Now we found the prime factors of 2720. The second step is to make pairs of those prime factors.</p>
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<p>Since 2720 is not a perfect square, the digits of the number can’t be grouped into pairs.</p>
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<p>Since 2720 is not a perfect square, the digits of the number can’t be grouped into pairs.</p>
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<p>Therefore, calculating 2720 using prime factorization is impossible.</p>
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<p>Therefore, calculating 2720 using prime factorization is impossible.</p>
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<h2>Square Root of 2720 by Long Division Method</h2>
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<h2>Square Root of 2720 by Long Division Method</h2>
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 2720, we need to group it as 20 and 27.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 2720, we need to group it as 20 and 27.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 27. We can say n is '5' because 5 x 5 = 25, which is lesser than 27. Now the<a>quotient</a>is 5, and after subtracting 25 from 27, the<a>remainder</a>is 2.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 27. We can say n is '5' because 5 x 5 = 25, which is lesser than 27. Now the<a>quotient</a>is 5, and after subtracting 25 from 27, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now let us bring down 20, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 5 + 5 = 10, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 20, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 5 + 5 = 10, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>We get 10n as the new divisor. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>We get 10n as the new divisor. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 10n x n ≤ 220. Let us consider n as 2, now 10 x 2 x 2 = 200.</p>
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<p><strong>Step 5:</strong>The next step is finding 10n x n ≤ 220. Let us consider n as 2, now 10 x 2 x 2 = 200.</p>
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<p><strong>Step 6:</strong>Subtract 200 from 220, the difference is 20, and the quotient is 52.</p>
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<p><strong>Step 6:</strong>Subtract 200 from 220, the difference is 20, and the quotient is 52.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 2000.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 2000.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 104, because 104 x 9 = 936.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 104, because 104 x 9 = 936.</p>
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<p><strong>Step 9:</strong>Subtracting 936 from 2000 gives the result of 1064.</p>
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<p><strong>Step 9:</strong>Subtracting 936 from 2000 gives the result of 1064.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue until the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue until the remainder is zero.</p>
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<p>So the square root of √2720 is approximately 52.15.</p>
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<p>So the square root of √2720 is approximately 52.15.</p>
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<h2>Square Root of 2720 by Approximation Method</h2>
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<h2>Square Root of 2720 by Approximation Method</h2>
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<p>The approximation method is another method for finding square roots. It is an easy method to find the square root of a given number. Now let us learn how to find the square root of 2720 using the approximation method.</p>
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<p>The approximation method is another method for finding square roots. It is an easy method to find the square root of a given number. Now let us learn how to find the square root of 2720 using the approximation method.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect squares of √2720. The smallest perfect square less than 2720 is 2704 (52^2), and the largest perfect square<a>greater than</a>2720 is 2809 (53^2). √2720 falls somewhere between 52 and 53.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect squares of √2720. The smallest perfect square less than 2720 is 2704 (52^2), and the largest perfect square<a>greater than</a>2720 is 2809 (53^2). √2720 falls somewhere between 52 and 53.</p>
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<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>: (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Using the formula (2720 - 2704) / (2809 - 2704) = 16 / 105 ≈ 0.1524. Using the formula, we identified the<a>decimal</a>point of our square root. The next step is adding the value we got initially to the decimal number, which is 52 + 0.1524 ≈ 52.15.</p>
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<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>: (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Using the formula (2720 - 2704) / (2809 - 2704) = 16 / 105 ≈ 0.1524. Using the formula, we identified the<a>decimal</a>point of our square root. The next step is adding the value we got initially to the decimal number, which is 52 + 0.1524 ≈ 52.15.</p>
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<p>So the square root of 2720 is approximately 52.15.</p>
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<p>So the square root of 2720 is approximately 52.15.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 2720</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 2720</h2>
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<p>Students do make mistakes while finding the square root, such as forgetting about the negative square root, skipping long division methods, etc. Let us look at a few of these mistakes in detail.</p>
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<p>Students do make mistakes while finding the square root, such as forgetting about the negative square root, skipping long division methods, etc. Let us look at a few of these mistakes in detail.</p>
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<h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Can you help Max find the area of a square box if its side length is given as √2720?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √2720?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The area of the square is approximately 2720 square units.</p>
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<p>The area of the square is approximately 2720 square units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The area of the square = side^2.</p>
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<p>The area of the square = side^2.</p>
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<p>The side length is given as √2720.</p>
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<p>The side length is given as √2720.</p>
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<p>Area of the square = side^2</p>
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<p>Area of the square = side^2</p>
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<p>= √2720 x √2720</p>
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<p>= √2720 x √2720</p>
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<p>= 2720.</p>
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<p>= 2720.</p>
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<p>Therefore, the area of the square box is approximately 2720 square units.</p>
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<p>Therefore, the area of the square box is approximately 2720 square units.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>A square-shaped building measuring 2720 square feet is built; if each of the sides is √2720, what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 2720 square feet is built; if each of the sides is √2720, what will be the square feet of half of the building?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>1360 square feet</p>
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<p>1360 square feet</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We can just divide the given area by 2 as the building is square-shaped.</p>
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<p>We can just divide the given area by 2 as the building is square-shaped.</p>
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<p>Dividing 2720 by 2 = we get 1360.</p>
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<p>Dividing 2720 by 2 = we get 1360.</p>
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<p>So half of the building measures 1360 square feet.</p>
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<p>So half of the building measures 1360 square feet.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Calculate √2720 x 5.</p>
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<p>Calculate √2720 x 5.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Approximately 260.768</p>
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<p>Approximately 260.768</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The first step is to find the square root of 2720, which is approximately 52.15.</p>
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<p>The first step is to find the square root of 2720, which is approximately 52.15.</p>
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<p>The second step is to multiply 52.15 by 5.</p>
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<p>The second step is to multiply 52.15 by 5.</p>
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<p>So 52.15 x 5 ≈ 260.768.</p>
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<p>So 52.15 x 5 ≈ 260.768.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>What will be the square root of (2710 + 10)?</p>
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<p>What will be the square root of (2710 + 10)?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The square root is approximately 52.15.</p>
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<p>The square root is approximately 52.15.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the square root, we need to find the sum of (2710 + 10).</p>
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<p>To find the square root, we need to find the sum of (2710 + 10).</p>
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<p>2710 + 10 = 2720, and then √2720 ≈ 52.15.</p>
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<p>2710 + 10 = 2720, and then √2720 ≈ 52.15.</p>
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<p>Therefore, the square root of (2710 + 10) is approximately ±52.15.</p>
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<p>Therefore, the square root of (2710 + 10) is approximately ±52.15.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √2720 units and the width ‘w’ is 38 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √2720 units and the width ‘w’ is 38 units.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The perimeter of the rectangle is approximately 180.3 units.</p>
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<p>The perimeter of the rectangle is approximately 180.3 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Perimeter of the rectangle = 2 × (length + width).</p>
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<p>Perimeter of the rectangle = 2 × (length + width).</p>
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<p>Perimeter = 2 × (√2720 + 38)</p>
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<p>Perimeter = 2 × (√2720 + 38)</p>
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<p>= 2 × (52.15 + 38)</p>
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<p>= 2 × (52.15 + 38)</p>
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<p>= 2 × 90.15</p>
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<p>= 2 × 90.15</p>
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<p>≈ 180.3 units.</p>
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<p>≈ 180.3 units.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQ on Square Root of 2720</h2>
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<h2>FAQ on Square Root of 2720</h2>
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<h3>1.What is √2720 in its simplest form?</h3>
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<h3>1.What is √2720 in its simplest form?</h3>
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<p>The prime factorization of 2720 is 2 x 2 x 2 x 2 x 5 x 17, so the simplest form of √2720 = √(2^4 x 5 x 17).</p>
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<p>The prime factorization of 2720 is 2 x 2 x 2 x 2 x 5 x 17, so the simplest form of √2720 = √(2^4 x 5 x 17).</p>
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<h3>2.Mention the factors of 2720.</h3>
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<h3>2.Mention the factors of 2720.</h3>
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<p>Factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 544, 680, 1360, and 2720.</p>
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<p>Factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 544, 680, 1360, and 2720.</p>
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<h3>3.Calculate the square of 2720.</h3>
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<h3>3.Calculate the square of 2720.</h3>
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<p>We get the square of 2720 by multiplying the number by itself, that is 2720 x 2720 = 7398400.</p>
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<p>We get the square of 2720 by multiplying the number by itself, that is 2720 x 2720 = 7398400.</p>
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<h3>4.Is 2720 a prime number?</h3>
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<h3>4.Is 2720 a prime number?</h3>
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<p>2720 is not a<a>prime number</a>, as it has more than two factors.</p>
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<p>2720 is not a<a>prime number</a>, as it has more than two factors.</p>
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<h3>5.2720 is divisible by?</h3>
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<h3>5.2720 is divisible by?</h3>
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<p>2720 has many factors; those are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 544, 680, 1360, and 2720.</p>
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<p>2720 has many factors; those are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 544, 680, 1360, and 2720.</p>
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<h2>Important Glossaries for the Square Root of 2720</h2>
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<h2>Important Glossaries for the Square Root of 2720</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4^2 = 16, and the inverse of the square is the square root, that is √16 = 4. </li>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4^2 = 16, and the inverse of the square is the square root, that is √16 = 4. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written in the form of p/q, where q is not equal to zero, and p and q are integers. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written in the form of p/q, where q is not equal to zero, and p and q are integers. </li>
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<li><strong>Principal square root:</strong>A number has both positive and negative square roots; however, it is always the positive square root that has more prominence due to its uses in the real world. That is the reason it is also known as a principal square root. </li>
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<li><strong>Principal square root:</strong>A number has both positive and negative square roots; however, it is always the positive square root that has more prominence due to its uses in the real world. That is the reason it is also known as a principal square root. </li>
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<li><strong>Prime factorization:</strong>Prime factorization is the process of breaking down a number into its basic building blocks, which are prime numbers. </li>
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<li><strong>Prime factorization:</strong>Prime factorization is the process of breaking down a number into its basic building blocks, which are prime numbers. </li>
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<li><strong>Long division method:</strong>The long division method is a step-by-step process used to find the square root of a non-perfect square, which involves dividing the number into groups and calculating the square root iteratively.</li>
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<li><strong>Long division method:</strong>The long division method is a step-by-step process used to find the square root of a non-perfect square, which involves dividing the number into groups and calculating the square root iteratively.</li>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<h2>Jaskaran Singh Saluja</h2>
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<h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>