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2026-01-01
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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 15/2.</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 15/2.</p>
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<h2>What is the Square Root of 15/2?</h2>
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<h2>What is the Square Root of 15/2?</h2>
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<p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 15/2 is not a<a>perfect square</a>. The square root of 15/2 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as, √(15/2), whereas (15/2)^(1/2) in the exponential form. √(15/2) = 1.93649, 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 of the square of the<a>number</a>. 15/2 is not a<a>perfect square</a>. The square root of 15/2 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as, √(15/2), whereas (15/2)^(1/2) in the exponential form. √(15/2) = 1.93649, 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 15/2</h2>
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<h2>Finding the Square Root of 15/2</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 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, for non-perfect square numbers, 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 15/2 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 15/2 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. For the<a>fraction</a>15/2, we will find the prime factors of the<a>numerator</a>and the<a>denominator</a>separately.</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. For the<a>fraction</a>15/2, we will find the prime factors of the<a>numerator</a>and the<a>denominator</a>separately.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 15 and 2 Breaking it down, we get 15 = 3 x 5 and 2 = 2. So the prime factorization of 15/2 is 3 x 5 / 2.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 15 and 2 Breaking it down, we get 15 = 3 x 5 and 2 = 2. So the prime factorization of 15/2 is 3 x 5 / 2.</p>
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<p><strong>Step 2:</strong>Since 15/2 is not a perfect square, calculating √(15/2) using prime factorization directly is not possible, but understanding the factorization helps in other methods.</p>
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<p><strong>Step 2:</strong>Since 15/2 is not a perfect square, calculating √(15/2) using prime factorization directly is not possible, but understanding the factorization helps in other methods.</p>
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<h2>Square Root of 15/2 by Long Division Method</h2>
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<h2>Square Root of 15/2 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. Here is 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. Here is 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, express 15/2 as a<a>decimal</a>, which is 7.5.</p>
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<p><strong>Step 1:</strong>To begin with, express 15/2 as a<a>decimal</a>, which is 7.5.</p>
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<p><strong>Step 2:</strong>Now, group the number 7.5 from right to left. For this, consider it as 7.50.</p>
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<p><strong>Step 2:</strong>Now, group the number 7.5 from right to left. For this, consider it as 7.50.</p>
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<p><strong>Step 3:</strong>Find n such that n^2 is<a>less than</a>or equal to 7. The nearest perfect square is 4 (2 x 2), so n is 2. Subtract 4 from 7 to get 3, and bring down 50 to make it 350.</p>
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<p><strong>Step 3:</strong>Find n such that n^2 is<a>less than</a>or equal to 7. The nearest perfect square is 4 (2 x 2), so n is 2. Subtract 4 from 7 to get 3, and bring down 50 to make it 350.</p>
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<p><strong>Step 4:</strong>Double the<a>divisor</a>(2) to make it 4. Find the largest digit "d" such that 4d x d is less than or equal to 350. The result is 46 x 6 = 276.</p>
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<p><strong>Step 4:</strong>Double the<a>divisor</a>(2) to make it 4. Find the largest digit "d" such that 4d x d is less than or equal to 350. The result is 46 x 6 = 276.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 350 to get 74, and bring down two zeros to make it 7400.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 350 to get 74, and bring down two zeros to make it 7400.</p>
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<p><strong>Step 6:</strong>Continue this process to get the square root to desired decimal places.</p>
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<p><strong>Step 6:</strong>Continue this process to get the square root to desired decimal places.</p>
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<p>So the square root of √(15/2) is approximately 1.936.</p>
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<p>So the square root of √(15/2) is approximately 1.936.</p>
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<h2>Square Root of 15/2 by Approximation Method</h2>
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<h2>Square Root of 15/2 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 15/2 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 15/2 using the approximation method.</p>
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<p><strong>Step 1:</strong>Convert 15/2 to a decimal, which is 7.5.</p>
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<p><strong>Step 1:</strong>Convert 15/2 to a decimal, which is 7.5.</p>
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<p><strong>Step 2:</strong>Find the closest perfect squares around 7.5. The nearest perfect squares are 4 (2^2) and 9 (3^2). √(7.5) falls between 2 and 3.</p>
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<p><strong>Step 2:</strong>Find the closest perfect squares around 7.5. The nearest perfect squares are 4 (2^2) and 9 (3^2). √(7.5) falls between 2 and 3.</p>
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<p><strong>Step 3:</strong>Apply the approximation<a>formula</a>: (Given number - smaller perfect square) / (larger perfect square - smaller perfect square). Using the formula, (7.5 - 4) / (9 - 4) = 0.7.</p>
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<p><strong>Step 3:</strong>Apply the approximation<a>formula</a>: (Given number - smaller perfect square) / (larger perfect square - smaller perfect square). Using the formula, (7.5 - 4) / (9 - 4) = 0.7.</p>
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<p><strong>Step 4:</strong>Add the initial<a>whole number</a>, 2 + 0.7 = 2.7. Since this is an approximation to the nearest whole number, refine it to get a more accurate result. Thus, the square root of 15/2 is approximately 1.936.</p>
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<p><strong>Step 4:</strong>Add the initial<a>whole number</a>, 2 + 0.7 = 2.7. Since this is an approximation to the nearest whole number, refine it to get a more accurate result. Thus, the square root of 15/2 is approximately 1.936.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 15/2</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 15/2</h2>
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<p>Students often make mistakes while finding the square root, such as forgetting about the negative square root or skipping necessary steps in methods like long division. Let's look at a few mistakes in detail.</p>
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<p>Students often make mistakes while finding the square root, such as forgetting about the negative square root or skipping necessary steps in methods like long division. Let's look at a few mistakes in detail.</p>
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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 √(15/2)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(15/2)?</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 7.5 square units.</p>
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<p>The area of the square is approximately 7.5 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 √(15/2).</p>
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<p>The side length is given as √(15/2).</p>
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<p>Area of the square = side^2 = √(15/2) x √(15/2) = 15/2 = 7.5.</p>
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<p>Area of the square = side^2 = √(15/2) x √(15/2) = 15/2 = 7.5.</p>
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<p>Therefore, the area of the square box is approximately 7.5 square units.</p>
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<p>Therefore, the area of the square box is approximately 7.5 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 15/2 square feet is built; if each of the sides is √(15/2), what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 15/2 square feet is built; if each of the sides is √(15/2), 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>3.75 square feet.</p>
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<p>3.75 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 15/2 by 2 = we get 15/4 = 3.75.</p>
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<p>Dividing 15/2 by 2 = we get 15/4 = 3.75.</p>
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<p>So half of the building measures 3.75 square feet.</p>
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<p>So half of the building measures 3.75 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 √(15/2) x 5.</p>
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<p>Calculate √(15/2) 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>9.68245</p>
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<p>9.68245</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 15/2, which is approximately 1.93649.</p>
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<p>The first step is to find the square root of 15/2, which is approximately 1.93649.</p>
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<p>The second step is to multiply 1.93649 by 5.</p>
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<p>The second step is to multiply 1.93649 by 5.</p>
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<p>So 1.93649 x 5 ≈ 9.68245.</p>
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<p>So 1.93649 x 5 ≈ 9.68245.</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 (15/2 + 1)?</p>
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<p>What will be the square root of (15/2 + 1)?</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 2.121.</p>
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<p>The square root is approximately 2.121.</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, first find the sum of (15/2 + 1).</p>
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<p>To find the square root, first find the sum of (15/2 + 1).</p>
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<p>15/2 + 1 = 15/2 + 2/2 = 17/2 = 8.5.</p>
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<p>15/2 + 1 = 15/2 + 2/2 = 17/2 = 8.5.</p>
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<p>The square root of 8.5 is approximately 2.915.</p>
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<p>The square root of 8.5 is approximately 2.915.</p>
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<p>Therefore, the square root of (15/2 + 1) is approximately 2.915.</p>
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<p>Therefore, the square root of (15/2 + 1) is approximately 2.915.</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 √(15/2) units and the width ‘w’ is 5 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √(15/2) units and the width ‘w’ is 5 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 13.873 units.</p>
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<p>We find the perimeter of the rectangle as approximately 13.873 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 × (√(15/2) + 5) ≈ 2 × (1.93649 + 5) ≈ 2 × 6.93649 ≈ 13.873 units.</p>
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<p>Perimeter = 2 × (√(15/2) + 5) ≈ 2 × (1.93649 + 5) ≈ 2 × 6.93649 ≈ 13.873 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 15/2</h2>
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<h2>FAQ on Square Root of 15/2</h2>
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<h3>1.What is √(15/2) in its simplest form?</h3>
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<h3>1.What is √(15/2) in its simplest form?</h3>
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<p>The simplest form of √(15/2) is √(3 x 5 / 2) = √(15/2).</p>
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<p>The simplest form of √(15/2) is √(3 x 5 / 2) = √(15/2).</p>
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<h3>2.Mention the factors of 15/2.</h3>
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<h3>2.Mention the factors of 15/2.</h3>
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<p>Factors of 15/2, considering it as a fraction, are 1, 3, 5 for the numerator 15, and 1, 2 for the denominator 2.</p>
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<p>Factors of 15/2, considering it as a fraction, are 1, 3, 5 for the numerator 15, and 1, 2 for the denominator 2.</p>
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<h3>3.Calculate the square of 15/2.</h3>
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<h3>3.Calculate the square of 15/2.</h3>
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<p>We get the square of 15/2 by multiplying the number by itself: (15/2) x (15/2) = 225/4 = 56.25.</p>
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<p>We get the square of 15/2 by multiplying the number by itself: (15/2) x (15/2) = 225/4 = 56.25.</p>
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<h3>4.Is 15/2 a prime number?</h3>
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<h3>4.Is 15/2 a prime number?</h3>
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<p>15/2 is not a<a>prime number</a>as it is a fraction and not an integer.</p>
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<p>15/2 is not a<a>prime number</a>as it is a fraction and not an integer.</p>
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<h3>5.15/2 is divisible by?</h3>
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<h3>5.15/2 is divisible by?</h3>
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<p>15/2 as a fraction is divisible by 1/2, 3/2, 5/2, and 15/2.</p>
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<p>15/2 as a fraction is divisible by 1/2, 3/2, 5/2, and 15/2.</p>
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<h2>Important Glossaries for the Square Root of 15/2</h2>
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<h2>Important Glossaries for the Square Root of 15/2</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. For 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. For example, 4^2 = 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 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 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>Fraction:</strong>A fraction consists of a numerator and a denominator, such as 15/2, where 15 is the numerator and 2 is the denominator.</li>
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</ul><ul><li><strong>Fraction:</strong>A fraction consists of a numerator and a denominator, such as 15/2, where 15 is the numerator and 2 is the denominator.</li>
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</ul><ul><li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals.</li>
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</ul><ul><li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals.</li>
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</ul><ul><li><strong>Approximation:</strong>Approximating means finding a value that is close to the actual value. Often used when exact values are not feasible, especially with irrational numbers.</li>
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</ul><ul><li><strong>Approximation:</strong>Approximating means finding a value that is close to the actual value. Often used when exact values are not feasible, especially with irrational numbers.</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>