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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 fields such as vehicle design, finance, etc. Here, we will discuss the square root of 14.4.</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 such as vehicle design, finance, etc. Here, we will discuss the square root of 14.4.</p>
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<h2>What is the Square Root of 14.4?</h2>
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<h2>What is the Square Root of 14.4?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of a<a>number</a>. 14.4 is not a<a>perfect square</a>. The square root of 14.4 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √14.4, whereas (14.4)^(1/2) is the exponential form. √14.4 ≈ 3.79473, 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 a<a>number</a>. 14.4 is not a<a>perfect square</a>. The square root of 14.4 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √14.4, whereas (14.4)^(1/2) is the exponential form. √14.4 ≈ 3.79473, 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 14.4</h2>
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<h2>Finding the Square Root of 14.4</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 typically used for non-perfect square numbers, where methods such as 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 typically used for non-perfect square numbers, where methods such as 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 14.4 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 14.4 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 14.4 can be expressed in<a>terms</a>of 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 14.4 can be expressed in<a>terms</a>of its prime factors.</p>
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<p><strong>Step 1:</strong>Converting 14.4 into a<a>fraction</a>: 14.4 = 144/10 = (12 x 12)/(2 x 5).</p>
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<p><strong>Step 1:</strong>Converting 14.4 into a<a>fraction</a>: 14.4 = 144/10 = (12 x 12)/(2 x 5).</p>
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<p><strong>Step 2:</strong>The prime factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3. The prime factorization of 10 is 2 x 5.</p>
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<p><strong>Step 2:</strong>The prime factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3. The prime factorization of 10 is 2 x 5.</p>
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<p><strong>Step 3:</strong>Now, we pair the prime factors of the<a>numerator</a>. Since 14.4 is not a perfect square, calculating √14.4 using prime factorization directly involves approximations.</p>
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<p><strong>Step 3:</strong>Now, we pair the prime factors of the<a>numerator</a>. Since 14.4 is not a perfect square, calculating √14.4 using prime factorization directly involves approximations.</p>
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<h2>Square Root of 14.4 by Long Division Method</h2>
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<h2>Square Root of 14.4 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 to 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 to 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 digits in pairs from right to left. In the case of 14.4, consider it as 1440 after multiplying by 100 for ease.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the digits in pairs from right to left. In the case of 14.4, consider it as 1440 after multiplying by 100 for ease.</p>
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<p><strong>Step 2:</strong>Find an integer whose square is<a>less than</a>or equal to 14. Consider n = 3 because 3 x 3 = 9, which is less than 14.</p>
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<p><strong>Step 2:</strong>Find an integer whose square is<a>less than</a>or equal to 14. Consider n = 3 because 3 x 3 = 9, which is less than 14.</p>
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<p><strong>Step 3:</strong>Subtract 9 from 14, giving a<a>remainder</a>of 5. Bring down the next pair, making it 540.</p>
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<p><strong>Step 3:</strong>Subtract 9 from 14, giving a<a>remainder</a>of 5. Bring down the next pair, making it 540.</p>
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<p><strong>Step 4:</strong>Double the current<a>quotient</a>(3) to get 6, and use it as the<a>base</a>for the next<a>divisor</a>.</p>
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<p><strong>Step 4:</strong>Double the current<a>quotient</a>(3) to get 6, and use it as the<a>base</a>for the next<a>divisor</a>.</p>
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<p><strong>Step 5:</strong>Find a digit x such that 6x x x is less than or equal to 540. Using trial, x = 8 works because 68 x 8 = 544.</p>
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<p><strong>Step 5:</strong>Find a digit x such that 6x x x is less than or equal to 540. Using trial, x = 8 works because 68 x 8 = 544.</p>
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<p><strong>Step 6:</strong>Subtract 544 from 540, resulting in -4, so adjust x to 7, where 67 x 7 = 469.</p>
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<p><strong>Step 6:</strong>Subtract 544 from 540, resulting in -4, so adjust x to 7, where 67 x 7 = 469.</p>
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<p><strong>Step 7:</strong>Continue the process to find the quotient to the desired decimal places.</p>
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<p><strong>Step 7:</strong>Continue the process to find the quotient to the desired decimal places.</p>
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<p>The approximate square root is 3.79473.</p>
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<p>The approximate square root is 3.79473.</p>
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<h2>Square Root of 14.4 by Approximation Method</h2>
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<h2>Square Root of 14.4 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 approximate the square root of a given number. Let us learn how to find the square root of 14.4 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 approximate the square root of a given number. Let us learn how to find the square root of 14.4 using the approximation method.</p>
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<p><strong>Step 1:</strong>Identify the closest perfect squares around 14.4.</p>
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<p><strong>Step 1:</strong>Identify the closest perfect squares around 14.4.</p>
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<p>The closest smaller perfect square is 9 (√9 = 3), and the closest larger perfect square is 16 (√16 = 4).</p>
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<p>The closest smaller perfect square is 9 (√9 = 3), and the closest larger perfect square is 16 (√16 = 4).</p>
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<p><strong>Step 2:</strong>Using interpolation, approximate between these values: (14.4 - 9) / (16 - 9) = (14.4 - 9) / 7 = 0.7714</p>
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<p><strong>Step 2:</strong>Using interpolation, approximate between these values: (14.4 - 9) / (16 - 9) = (14.4 - 9) / 7 = 0.7714</p>
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<p><strong>Step 3:</strong>Approximate the square root: 3 + 0.7714 = 3.7714</p>
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<p><strong>Step 3:</strong>Approximate the square root: 3 + 0.7714 = 3.7714</p>
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<p>Thus, √14.4 ≈ 3.79473 using a more precise calculation.</p>
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<p>Thus, √14.4 ≈ 3.79473 using a more precise calculation.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 14.4</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 14.4</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 steps in the long division method. Let us look at a few of these 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 steps in the long division method. Let us look at a few of these 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 √14.4?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √14.4?</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 14.4 square units.</p>
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<p>The area of the square is approximately 14.4 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 a square = side².</p>
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<p>The area of a square = side².</p>
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<p>The side length is given as √14.4.</p>
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<p>The side length is given as √14.4.</p>
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<p>Area of the square = (√14.4)² = 14.4.</p>
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<p>Area of the square = (√14.4)² = 14.4.</p>
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<p>Therefore, the area of the square box is approximately 14.4 square units.</p>
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<p>Therefore, the area of the square box is approximately 14.4 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 field measures 14.4 square meters. What is the length of each side of the field?</p>
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<p>A square-shaped field measures 14.4 square meters. What is the length of each side of the field?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Each side of the field is approximately 3.79473 meters.</p>
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<p>Each side of the field is approximately 3.79473 meters.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The side length of a square is the square root of its area. √14.4 ≈ 3.79473.</p>
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<p>The side length of a square is the square root of its area. √14.4 ≈ 3.79473.</p>
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<p>Therefore, each side of the field is approximately 3.79473 meters.</p>
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<p>Therefore, each side of the field is approximately 3.79473 meters.</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 √14.4 x 5.</p>
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<p>Calculate √14.4 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>The result is approximately 18.97365.</p>
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<p>The result is approximately 18.97365.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the square root of 14.4, which is approximately 3.79473.</p>
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<p>First, find the square root of 14.4, which is approximately 3.79473.</p>
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<p>Then, multiply 3.79473 by 5: 3.79473 x 5 ≈ 18.97365.</p>
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<p>Then, multiply 3.79473 by 5: 3.79473 x 5 ≈ 18.97365.</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 (14 + 0.4)?</p>
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<p>What will be the square root of (14 + 0.4)?</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 3.79473.</p>
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<p>The square root is approximately 3.79473.</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, calculate the sum: 14 + 0.4 = 14.4.</p>
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<p>To find the square root, calculate the sum: 14 + 0.4 = 14.4.</p>
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<p>Then, √14.4 ≈ 3.79473.</p>
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<p>Then, √14.4 ≈ 3.79473.</p>
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<p>Therefore, the square root of (14 + 0.4) is approximately 3.79473.</p>
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<p>Therefore, the square root of (14 + 0.4) is approximately 3.79473.</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 a rectangle if its length ‘l’ is √14.4 units and the width ‘w’ is 10 units.</p>
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<p>Find the perimeter of a rectangle if its length ‘l’ is √14.4 units and the width ‘w’ is 10 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 27.58946 units.</p>
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<p>The perimeter of the rectangle is approximately 27.58946 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 × (√14.4 + 10) ≈ 2 × (3.79473 + 10) ≈ 2 × 13.79473 ≈ 27.58946 units.</p>
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<p>Perimeter = 2 × (√14.4 + 10) ≈ 2 × (3.79473 + 10) ≈ 2 × 13.79473 ≈ 27.58946 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 14.4</h2>
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<h2>FAQ on Square Root of 14.4</h2>
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<h3>1.What is √14.4 in its simplest form?</h3>
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<h3>1.What is √14.4 in its simplest form?</h3>
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<p>The square root of 14.4 is an irrational number and cannot be simplified to a simpler radical form. It is approximately 3.79473.</p>
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<p>The square root of 14.4 is an irrational number and cannot be simplified to a simpler radical form. It is approximately 3.79473.</p>
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<h3>2.Calculate the square of 14.4.</h3>
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<h3>2.Calculate the square of 14.4.</h3>
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<p>The square of 14.4 is found by multiplying the number by itself: 14.4 x 14.4 = 207.36.</p>
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<p>The square of 14.4 is found by multiplying the number by itself: 14.4 x 14.4 = 207.36.</p>
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<h3>3.Is 14.4 a perfect square?</h3>
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<h3>3.Is 14.4 a perfect square?</h3>
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<p>14.4 is not a perfect square, as it does not have an integer as its square root.</p>
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<p>14.4 is not a perfect square, as it does not have an integer as its square root.</p>
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<h3>4.Is 14.4 a rational number?</h3>
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<h3>4.Is 14.4 a rational number?</h3>
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<p>Yes, 14.4 is a<a>rational number</a>because it can be expressed as a fraction: 144/10.</p>
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<p>Yes, 14.4 is a<a>rational number</a>because it can be expressed as a fraction: 144/10.</p>
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<h3>5.What is the square root of 14.4 approximated to two decimal places?</h3>
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<h3>5.What is the square root of 14.4 approximated to two decimal places?</h3>
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<p>The square root of 14.4 approximated to two<a>decimal</a>places is 3.79.</p>
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<p>The square root of 14.4 approximated to two<a>decimal</a>places is 3.79.</p>
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<h2>Important Glossaries for the Square Root of 14.4</h2>
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<h2>Important Glossaries for the Square Root of 14.4</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of squaring a number. For example, 4² = 16, and the inverse, the square root, is √16 = 4 </li>
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<ul><li><strong>Square root:</strong>A square root is the inverse of squaring a number. For example, 4² = 16, and the inverse, the square root, is √16 = 4 </li>
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<li><strong>Irrational number:</strong>An irrational number cannot be expressed as a fraction p/q, where q is not zero and p and q are integers. </li>
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<li><strong>Irrational number:</strong>An irrational number cannot be expressed as a fraction p/q, where q is not zero and p and q are integers. </li>
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<li><strong>Approximation:</strong>The process of finding a value close to the true value, often used when the exact value is difficult to find. </li>
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<li><strong>Approximation:</strong>The process of finding a value close to the true value, often used when the exact value is difficult to find. </li>
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<li><strong>Long division method:</strong>A technique used to find the square root of a non-perfect square number through a series of division steps. </li>
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<li><strong>Long division method:</strong>A technique used to find the square root of a non-perfect square number through a series of division steps. </li>
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<li><strong>Decimal:</strong>A numerical representation that includes a whole number and a fractional part, separated by a decimal point, such as 7.86.</li>
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<li><strong>Decimal:</strong>A numerical representation that includes a whole number and a fractional part, separated by a decimal point, such as 7.86.</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>