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2026-01-01
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2026-02-28
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<p>184 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 the field of vehicle design, finance, etc. Here, we will discuss the square root of 4420.</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 the field of vehicle design, finance, etc. Here, we will discuss the square root of 4420.</p>
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<h2>What is the Square Root of 4420?</h2>
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<h2>What is the Square Root of 4420?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 4420 is not a<a>perfect square</a>. The square root of 4420 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √4420, whereas (4420)^(1/2) in the exponential form. √4420 ≈ 66.4529, 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>. 4420 is not a<a>perfect square</a>. The square root of 4420 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √4420, whereas (4420)^(1/2) in the exponential form. √4420 ≈ 66.4529, 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 4420</h2>
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<h2>Finding the Square Root of 4420</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the long-<a>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, the prime factorization method is not used for non-perfect square numbers where the long-<a>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 4420 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 4420 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 4420 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 4420 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 4420</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 4420</p>
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<p>Breaking it down, we get 2 x 2 x 5 x 13 x 17</p>
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<p>Breaking it down, we get 2 x 2 x 5 x 13 x 17</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 4420. The second step is to make pairs of those prime factors. Since 4420 is not a perfect square, therefore the digits of the number can’t be grouped in pairs. Therefore, calculating 4420 using prime factorization is impossible.</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 4420. The second step is to make pairs of those prime factors. Since 4420 is not a perfect square, therefore the digits of the number can’t be grouped in pairs. Therefore, calculating 4420 using prime factorization is impossible.</p>
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<h2>Square Root of 4420 by Long Division Method</h2>
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<h2>Square Root of 4420 by Long Division Method</h2>
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<p>The<a>long 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<a>long 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 4420, we need to group it as 20 and 44.</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 4420, we need to group it as 20 and 44.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 44. We can say n is ‘6’ because 6 x 6 = 36 is lesser than or equal to 44. Now the<a>quotient</a>is 6; after subtracting 36 from 44, the<a>remainder</a>is 8.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 44. We can say n is ‘6’ because 6 x 6 = 36 is lesser than or equal to 44. Now the<a>quotient</a>is 6; after subtracting 36 from 44, the<a>remainder</a>is 8.</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 6 + 6, we get 12, 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 6 + 6, we get 12, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 12n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 12n 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 12n x n ≤ 820. Let us consider n as 6; now 126 x 6 = 756. Step 6: Subtract 756 from 820, the difference is 64, and the quotient is 66.</p>
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<p><strong>Step 5:</strong>The next step is finding 12n x n ≤ 820. Let us consider n as 6; now 126 x 6 = 756. Step 6: Subtract 756 from 820, the difference is 64, and the quotient is 66.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 6400.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 6400.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 132 because 1324 x 4 = 5296.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 132 because 1324 x 4 = 5296.</p>
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<p><strong>Step 9:</strong>Subtracting 5296 from 6400, we get the result 1104.</p>
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<p><strong>Step 9:</strong>Subtracting 5296 from 6400, we get the result 1104.</p>
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<p><strong>Step 10:</strong>Now the quotient is 66.4. Step 11: Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p><strong>Step 10:</strong>Now the quotient is 66.4. Step 11: Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √4420 ≈ 66.45.</p>
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<p>So the square root of √4420 ≈ 66.45.</p>
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<h2>Square Root of 4420 by Approximation Method</h2>
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<h2>Square Root of 4420 by Approximation Method</h2>
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<p>The approximation method is another method for finding the 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 4420 using the approximation method.</p>
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<p>The approximation method is another method for finding the 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 4420 using the approximation method.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect square of √4420. The smallest perfect square of 4420 is 4356, and the largest perfect square of 4420 is 4489. √4420 falls somewhere between 66 and 67.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect square of √4420. The smallest perfect square of 4420 is 4356, and the largest perfect square of 4420 is 4489. √4420 falls somewhere between 66 and 67.</p>
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<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>that is (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Going by the formula (4420 - 4356) ÷ (4489 - 4356) = 0.4529. 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 66 + 0.4529 = 66.4529, so the square root of 4420 is approximately 66.4529.</p>
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<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>that is (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Going by the formula (4420 - 4356) ÷ (4489 - 4356) = 0.4529. 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 66 + 0.4529 = 66.4529, so the square root of 4420 is approximately 66.4529.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 4420</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 4420</h2>
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<p>Students do make mistakes while finding the square root, like forgetting about the negative square root, skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>
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<p>Students do make mistakes while finding the square root, like forgetting about the negative square root, skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make 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 √4420?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √4420?</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 4420 square units.</p>
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<p>The area of the square is approximately 4420 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 = side².</p>
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<p>The area of the square = side².</p>
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<p>The side length is given as √4420.</p>
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<p>The side length is given as √4420.</p>
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<p>Area of the square = side² = √4420 x √4420 = 4420 square units.</p>
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<p>Area of the square = side² = √4420 x √4420 = 4420 square units.</p>
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<p>Therefore, the area of the square box is 4420 square units.</p>
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<p>Therefore, the area of the square box is 4420 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 4420 square feet is built; if each of the sides is √4420, what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 4420 square feet is built; if each of the sides is √4420, 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>2210 square feet</p>
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<p>2210 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 4420 by 2, we get 2210.</p>
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<p>Dividing 4420 by 2, we get 2210.</p>
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<p>So half of the building measures 2210 square feet.</p>
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<p>So half of the building measures 2210 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 √4420 x 5.</p>
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<p>Calculate √4420 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 332.2645</p>
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<p>Approximately 332.2645</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 4420, which is approximately 66.4529; the second step is to multiply 66.4529 with 5.</p>
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<p>The first step is to find the square root of 4420, which is approximately 66.4529; the second step is to multiply 66.4529 with 5.</p>
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<p>So 66.4529 x 5 ≈ 332.2645.</p>
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<p>So 66.4529 x 5 ≈ 332.2645.</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 (4420 + 69)?</p>
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<p>What will be the square root of (4420 + 69)?</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 67.</p>
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<p>Approximately 67.</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 (4420 + 69). 4420 + 69 = 4489, and then √4489 = 67.</p>
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<p>To find the square root, we need to find the sum of (4420 + 69). 4420 + 69 = 4489, and then √4489 = 67.</p>
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<p>Therefore, the square root of (4420 + 69) is ±67.</p>
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<p>Therefore, the square root of (4420 + 69) is ±67.</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 √4420 units and the width ‘w’ is 100 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √4420 units and the width ‘w’ is 100 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>We find the perimeter of the rectangle as approximately 332.9058 units.</p>
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<p>We find the perimeter of the rectangle as approximately 332.9058 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 × (√4420 + 100) ≈ 2 × (66.4529 + 100) ≈ 2 × 166.4529 ≈ 332.9058 units.</p>
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<p>Perimeter = 2 × (√4420 + 100) ≈ 2 × (66.4529 + 100) ≈ 2 × 166.4529 ≈ 332.9058 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 4420</h2>
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<h2>FAQ on Square Root of 4420</h2>
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<h3>1.What is √4420 in its simplest form?</h3>
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<h3>1.What is √4420 in its simplest form?</h3>
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<p>The prime factorization of 4420 is 2 x 2 x 5 x 13 x 17, so the simplest form of √4420 = √(2 x 2 x 5 x 13 x 17).</p>
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<p>The prime factorization of 4420 is 2 x 2 x 5 x 13 x 17, so the simplest form of √4420 = √(2 x 2 x 5 x 13 x 17).</p>
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<h3>2.Mention the factors of 4420.</h3>
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<h3>2.Mention the factors of 4420.</h3>
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<p>Factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 85, 130, 170, 221, 260, 442, 442, 884, 1105, 2210, and 4420.</p>
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<p>Factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 85, 130, 170, 221, 260, 442, 442, 884, 1105, 2210, and 4420.</p>
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<h3>3.Calculate the square of 4420.</h3>
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<h3>3.Calculate the square of 4420.</h3>
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<p>We get the square of 4420 by multiplying the number by itself, that is 4420 x 4420 = 19,536,400.</p>
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<p>We get the square of 4420 by multiplying the number by itself, that is 4420 x 4420 = 19,536,400.</p>
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<h3>4.Is 4420 a prime number?</h3>
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<h3>4.Is 4420 a prime number?</h3>
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<p>4420 is not a<a>prime number</a>, as it has more than two factors.</p>
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<p>4420 is not a<a>prime number</a>, as it has more than two factors.</p>
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<h3>5.4420 is divisible by?</h3>
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<h3>5.4420 is divisible by?</h3>
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<p>4420 has many factors; those are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 85, 130, 170, 221, 260, 442, 442, 884, 1105, 2210, and 4420.</p>
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<p>4420 has many factors; those are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 85, 130, 170, 221, 260, 442, 442, 884, 1105, 2210, and 4420.</p>
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<h2>Important Glossaries for the Square Root of 4420</h2>
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<h2>Important Glossaries for the Square Root of 4420</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4² = 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: 4² = 16, and the inverse of the square is the square root, that is, √16 = 4.</li>
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</ul><ul><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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</ul><ul><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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</ul><ul><li><strong>Principal square root:</strong>A number has both positive and negative square roots; however, it is always a 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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</ul><ul><li><strong>Principal square root:</strong>A number has both positive and negative square roots; however, it is always a 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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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as a product of its prime factors.</li>
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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as a product of its prime factors.</li>
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</ul><ul><li><strong>Long division method:</strong>A step-by-step method to find the square root of non-perfect squares by dividing and averaging.</li>
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</ul><ul><li><strong>Long division method:</strong>A step-by-step method to find the square root of non-perfect squares by dividing and averaging.</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>