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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 1/5.</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 1/5.</p>
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<h2>What is the Square Root of 1/5?</h2>
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<h2>What is the Square Root of 1/5?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 1/5 is not a<a>perfect square</a>. The square root of 1/5 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √(1/5), whereas (1/5)^(1/2) in exponential form. √(1/5) = √1/√5 = 1/√5 = √5/5, 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>. 1/5 is not a<a>perfect square</a>. The square root of 1/5 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √(1/5), whereas (1/5)^(1/2) in exponential form. √(1/5) = √1/√5 = 1/√5 = √5/5, 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 1/5</h2>
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<h2>Finding the Square Root of 1/5</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 1/5 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 1/5 by Prime Factorization Method</h2>
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<p>Since 1/5 is a<a>fraction</a>, prime factorization of the<a>numerator and denominator</a>separately doesn't yield a straightforward result like for integers.</p>
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<p>Since 1/5 is a<a>fraction</a>, prime factorization of the<a>numerator and denominator</a>separately doesn't yield a straightforward result like for integers.</p>
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<p>Therefore, calculating 1/5 using prime factorization is not applicable. Instead, it is more helpful to consider the<a>square root</a>of the numerator and the square root of the denominator separately, which gives √1/√5 = 1/√5 = √5/5.</p>
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<p>Therefore, calculating 1/5 using prime factorization is not applicable. Instead, it is more helpful to consider the<a>square root</a>of the numerator and the square root of the denominator separately, which gives √1/√5 = 1/√5 = √5/5.</p>
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<h2>Square Root of 1/5 by Long Division Method</h2>
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<h2>Square Root of 1/5 by Long Division Method</h2>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers, including fractions. In this method, we can convert the fraction into a<a>decimal</a>and then apply the long division method. Here’s how to find the square root 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, including fractions. In this method, we can convert the fraction into a<a>decimal</a>and then apply the long division method. Here’s how to find the square root using the long division method, step by step:</p>
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<p><strong>Step 1:</strong>Convert 1/5 into a decimal, which is 0.2.</p>
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<p><strong>Step 1:</strong>Convert 1/5 into a decimal, which is 0.2.</p>
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<p><strong>Step 2:</strong>Group the digits of 0.2, considering pairs of two digits from right to left. Here, it becomes 0.20.</p>
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<p><strong>Step 2:</strong>Group the digits of 0.2, considering pairs of two digits from right to left. Here, it becomes 0.20.</p>
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<p><strong>Step 3:</strong>Find a number whose square is<a>less than</a>or equal to 0.20. The number is 0.4 because 0.4 * 0.4 = 0.16, which is less than 0.20.</p>
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<p><strong>Step 3:</strong>Find a number whose square is<a>less than</a>or equal to 0.20. The number is 0.4 because 0.4 * 0.4 = 0.16, which is less than 0.20.</p>
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<p><strong>Step 4:</strong>Subtract 0.16 from 0.20 to get 0.04.</p>
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<p><strong>Step 4:</strong>Subtract 0.16 from 0.20 to get 0.04.</p>
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<p><strong>Step 5:</strong>Bring down two zeros, making the new<a>dividend</a>400.</p>
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<p><strong>Step 5:</strong>Bring down two zeros, making the new<a>dividend</a>400.</p>
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<p><strong>Step 6:</strong>Double the<a>quotient</a>(0.4) to get 0.8 and find a digit such that 0.8x * x is close to 400. The digit is 5 because 0.85 * 5 ≈ 0.425.</p>
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<p><strong>Step 6:</strong>Double the<a>quotient</a>(0.4) to get 0.8 and find a digit such that 0.8x * x is close to 400. The digit is 5 because 0.85 * 5 ≈ 0.425.</p>
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<p><strong>Step 7:</strong>The quotient becomes 0.45, which is approximately the square root of 0.2.</p>
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<p><strong>Step 7:</strong>The quotient becomes 0.45, which is approximately the square root of 0.2.</p>
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<p>The square root of 1/5 ≈ 0.447</p>
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<p>The square root of 1/5 ≈ 0.447</p>
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<h2>Square Root of 1/5 by Approximation Method</h2>
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<h2>Square Root of 1/5 by Approximation Method</h2>
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<p>The approximation method is another way to find square roots, especially for non-perfect squares. Here is how to find the square root of 1/5 using the approximation method:</p>
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<p>The approximation method is another way to find square roots, especially for non-perfect squares. Here is how to find the square root of 1/5 using the approximation method:</p>
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<p><strong>Step 1:</strong>Convert 1/5 into a decimal, which is 0.2.</p>
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<p><strong>Step 1:</strong>Convert 1/5 into a decimal, which is 0.2.</p>
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<p><strong>Step 2:</strong>Notice that 0.2 lies between the perfect squares 0.16 (0.4^2) and 0.25 (0.5^2).</p>
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<p><strong>Step 2:</strong>Notice that 0.2 lies between the perfect squares 0.16 (0.4^2) and 0.25 (0.5^2).</p>
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<p><strong>Step 3:</strong>We can estimate that the square root of 0.2 is between 0.4 and 0.5.</p>
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<p><strong>Step 3:</strong>We can estimate that the square root of 0.2 is between 0.4 and 0.5.</p>
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<p><strong>Step 4:</strong>Use interpolation: (0.2 - 0.16) / (0.25 - 0.16) = 0.04 / 0.09 ≈ 0.44. By interpolation, 0.4 + 0.44(0.1) = 0.44.</p>
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<p><strong>Step 4:</strong>Use interpolation: (0.2 - 0.16) / (0.25 - 0.16) = 0.04 / 0.09 ≈ 0.44. By interpolation, 0.4 + 0.44(0.1) = 0.44.</p>
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<p>So, the square root of 1/5 ≈ 0.447</p>
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<p>So, the square root of 1/5 ≈ 0.447</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1/5</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1/5</h2>
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<p>Students make mistakes while finding square roots, such as misunderstanding the negative square root or misapplying methods. Here are a few common mistakes:</p>
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<p>Students make mistakes while finding square roots, such as misunderstanding the negative square root or misapplying methods. Here are a few common mistakes:</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 √(1/5)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(1/5)?</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 area of the square is 0.04 square units.</p>
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<p>The area of the square is 0.04 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 √(1/5).</p>
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<p>The side length is given as √(1/5).</p>
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<p>Area of the square = (√(1/5))^2</p>
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<p>Area of the square = (√(1/5))^2</p>
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<p>= 1/5</p>
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<p>= 1/5</p>
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<p>= 0.2.</p>
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<p>= 0.2.</p>
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<p>Therefore, the area of the square box is 0.04 square units.</p>
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<p>Therefore, the area of the square box is 0.04 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 1/5 square units is built; if each of the sides is √(1/5), what will be the square units of half of the building?</p>
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<p>A square-shaped building measuring 1/5 square units is built; if each of the sides is √(1/5), what will be the square units 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>0.1 square units</p>
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<p>0.1 square units</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We can divide the given area by 2 because the building is square-shaped.</p>
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<p>We can divide the given area by 2 because the building is square-shaped.</p>
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<p>Dividing 1/5 by 2 = 1/10 = 0.1.</p>
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<p>Dividing 1/5 by 2 = 1/10 = 0.1.</p>
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<p>So half of the building measures 0.1 square units.</p>
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<p>So half of the building measures 0.1 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 3</h3>
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<h3>Problem 3</h3>
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<p>Calculate √(1/5) x 5.</p>
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<p>Calculate √(1/5) 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>2.236</p>
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<p>2.236</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 1/5, which is approximately 0.447.</p>
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<p>The first step is to find the square root of 1/5, which is approximately 0.447.</p>
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<p>The second step is to multiply 0.447 by 5.</p>
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<p>The second step is to multiply 0.447 by 5.</p>
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<p>So, 0.447 x 5 ≈ 2.236.</p>
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<p>So, 0.447 x 5 ≈ 2.236.</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 (1/5 + 4/5)?</p>
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<p>What will be the square root of (1/5 + 4/5)?</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 square root is 1.</p>
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<p>The square root is 1.</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 (1/5 + 4/5).</p>
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<p>To find the square root, first find the sum of (1/5 + 4/5).</p>
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<p>1/5 + 4/5 = 1, and then √1 = 1.</p>
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<p>1/5 + 4/5 = 1, and then √1 = 1.</p>
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<p>Therefore, the square root of (1/5 + 4/5) is ±1.</p>
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<p>Therefore, the square root of (1/5 + 4/5) is ±1.</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 √(1/5) units and the width ‘w’ is 3 units.</p>
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<p>Find the perimeter of a rectangle if its length ‘l’ is √(1/5) units and the width ‘w’ is 3 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 6.894 units.</p>
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<p>The perimeter of the rectangle is approximately 6.894 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 × (√(1/5) + 3)</p>
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<p>Perimeter = 2 × (√(1/5) + 3)</p>
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<p>= 2 × (0.447 + 3)</p>
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<p>= 2 × (0.447 + 3)</p>
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<p>≈ 2 × 3.447</p>
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<p>≈ 2 × 3.447</p>
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<p>= 6.894 units.</p>
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<p>= 6.894 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 1/5</h2>
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<h2>FAQ on Square Root of 1/5</h2>
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<h3>1.What is √(1/5) in its simplest form?</h3>
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<h3>1.What is √(1/5) in its simplest form?</h3>
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<p>The simplest form of √(1/5) is √5/5, which is approximately 0.447.</p>
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<p>The simplest form of √(1/5) is √5/5, which is approximately 0.447.</p>
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<h3>2.Mention the factors of 5.</h3>
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<h3>2.Mention the factors of 5.</h3>
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<h3>3.Calculate the square of 1/5.</h3>
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<h3>3.Calculate the square of 1/5.</h3>
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<p>The square of 1/5 is (1/5) × (1/5) = 1/25 = 0.04.</p>
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<p>The square of 1/5 is (1/5) × (1/5) = 1/25 = 0.04.</p>
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<h3>4.Is 1/5 a prime number?</h3>
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<h3>4.Is 1/5 a prime number?</h3>
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<p>1/5 is not a prime number because it is a fraction, not an integer.</p>
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<p>1/5 is not a prime number because it is a fraction, not an integer.</p>
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<h3>5.What is 1/5 as a decimal?</h3>
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<h3>5.What is 1/5 as a decimal?</h3>
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<h2>Important Glossaries for the Square Root of 1/5</h2>
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<h2>Important Glossaries for the Square Root of 1/5</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse operation of squaring a number. For example, if x^2 = 9, then √9 = 3. </li>
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<ul><li><strong>Square root:</strong>A square root is the inverse operation of squaring a number. For example, if x^2 = 9, then √9 = 3. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written as a simple fraction; √5 is an example. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written as a simple fraction; √5 is an example. </li>
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<li><strong>Fraction:</strong>A fraction represents a part of a whole. It consists of a numerator and a denominator. Example: 1/5. </li>
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<li><strong>Fraction:</strong>A fraction represents a part of a whole. It consists of a numerator and a denominator. Example: 1/5. </li>
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<li><strong>Decimal:</strong>A decimal is a fraction expressed in a special form. For example, 0.2 is the decimal form of 1/5. </li>
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<li><strong>Decimal:</strong>A decimal is a fraction expressed in a special form. For example, 0.2 is the decimal form of 1/5. </li>
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<li><strong>Principal square root:</strong>The principal square root is the non-negative root of a number. For example, the principal square root of 9 is 3.</li>
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<li><strong>Principal square root:</strong>The principal square root is the non-negative root of a number. For example, the principal square root of 9 is 3.</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>