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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 itself, the result is a square. The inverse of the square is a square root. The square root is used in various fields such as mathematics, physics, and engineering. Here, we will discuss the square root of 2/5.</p>
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<p>If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in various fields such as mathematics, physics, and engineering. Here, we will discuss the square root of 2/5.</p>
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<h2>What is the Square Root of 2/5?</h2>
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<h2>What is the Square Root of 2/5?</h2>
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<p>The<a>square</a>root is the inverse of the square of a<a>number</a>. The<a>fraction</a>2/5 is not a<a>perfect square</a>. The square root of 2/5 can be expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √(2/5), whereas (2/5)^(1/2) in exponential form. The square root of 2/5 is approximately 0.632455, which is an<a>irrational number</a>because it cannot be expressed as a<a>ratio</a>of two integers.</p>
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<p>The<a>square</a>root is the inverse of the square of a<a>number</a>. The<a>fraction</a>2/5 is not a<a>perfect square</a>. The square root of 2/5 can be expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √(2/5), whereas (2/5)^(1/2) in exponential form. The square root of 2/5 is approximately 0.632455, which is an<a>irrational number</a>because it cannot be expressed as a<a>ratio</a>of two integers.</p>
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<h2>Finding the Square Root of 2/5</h2>
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<h2>Finding the Square Root of 2/5</h2>
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<h2>Square Root of 2/5 by Simplifying the Fraction</h2>
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<h2>Square Root of 2/5 by Simplifying the Fraction</h2>
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<p>To simplify the process, let's understand how to handle the square root of a fraction. If we have √(a/b), we can separate this into √a/√b. Now, let's apply this to 2/5.</p>
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<p>To simplify the process, let's understand how to handle the square root of a fraction. If we have √(a/b), we can separate this into √a/√b. Now, let's apply this to 2/5.</p>
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<p><strong>Step 1:</strong>Separate the fraction as √2/√5</p>
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<p><strong>Step 1:</strong>Separate the fraction as √2/√5</p>
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<p><strong>Step 2:</strong>Calculate the square root of the numerator and the denominator. √2 ≈ 1.414 and √5 ≈ 2.236</p>
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<p><strong>Step 2:</strong>Calculate the square root of the numerator and the denominator. √2 ≈ 1.414 and √5 ≈ 2.236</p>
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<p><strong>Step 3:</strong>Divide the square root of the numerator by the square root of the denominator. So √(2/5) ≈ 1.414/2.236 ≈ 0.632455</p>
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<p><strong>Step 3:</strong>Divide the square root of the numerator by the square root of the denominator. So √(2/5) ≈ 1.414/2.236 ≈ 0.632455</p>
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<p>Therefore, the square root of 2/5 is approximately 0.632455.</p>
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<p>Therefore, the square root of 2/5 is approximately 0.632455.</p>
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<h2>Square Root of 2/5 by Long Division Method</h2>
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<h2>Square Root of 2/5 by Long Division Method</h2>
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<p>The<a>long division</a>method is a systematic way to find the square root of non-perfect square numbers, including<a>decimals</a>. Let's see how to find the square root using this method, step by step.</p>
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<p>The<a>long division</a>method is a systematic way to find the square root of non-perfect square numbers, including<a>decimals</a>. Let's see how to find the square root using this method, step by step.</p>
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<p><strong>Step 1:</strong>Convert 2/5 into a decimal, which is 0.4.</p>
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<p><strong>Step 1:</strong>Convert 2/5 into a decimal, which is 0.4.</p>
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<p><strong>Step 2:</strong>Use the long division method to find the square root of 0.4.</p>
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<p><strong>Step 2:</strong>Use the long division method to find the square root of 0.4.</p>
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<p><strong>Step 3:</strong>Pair the digits of 0.4 from the decimal point, so we have 40.</p>
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<p><strong>Step 3:</strong>Pair the digits of 0.4 from the decimal point, so we have 40.</p>
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<p><strong>Step 4:</strong>Find a number whose square is<a>less than</a>or equal to 40. Let's take 6, as 6*6 = 36.</p>
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<p><strong>Step 4:</strong>Find a number whose square is<a>less than</a>or equal to 40. Let's take 6, as 6*6 = 36.</p>
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<p><strong>Step 5:</strong>Subtract 36 from 40, bringing down pairs of zeros to continue the process.</p>
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<p><strong>Step 5:</strong>Subtract 36 from 40, bringing down pairs of zeros to continue the process.</p>
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<p><strong>Step 6:</strong>Repeat the process to find subsequent digits until the desired<a>accuracy</a>is reached.</p>
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<p><strong>Step 6:</strong>Repeat the process to find subsequent digits until the desired<a>accuracy</a>is reached.</p>
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<p>The approximate value of √0.4 is 0.632455.</p>
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<p>The approximate value of √0.4 is 0.632455.</p>
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<h2>Square Root of 2/5 by Approximation Method</h2>
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<h2>Square Root of 2/5 by Approximation Method</h2>
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<p>The approximation method is another way to find the square roots and is a straightforward method to find the square root of a given number. Let us learn how to find the square root of 2/5 using the approximation method.</p>
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<p>The approximation method is another way to find the square roots and is a straightforward method to find the square root of a given number. Let us learn how to find the square root of 2/5 using the approximation method.</p>
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<p><strong>Step 1:</strong>Convert 2/5 into a decimal, which is 0.4.</p>
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<p><strong>Step 1:</strong>Convert 2/5 into a decimal, which is 0.4.</p>
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<p><strong>Step 2:</strong>Identify two perfect squares between which 0.4 lies. It lies between 0.36 (0.6^2) and 0.49 (0.7^2).</p>
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<p><strong>Step 2:</strong>Identify two perfect squares between which 0.4 lies. It lies between 0.36 (0.6^2) and 0.49 (0.7^2).</p>
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<p><strong>Step 3:</strong>Use interpolation to approximate the square root. Since 0.4 is closer to 0.36, we can start with an initial guess of 0.63.</p>
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<p><strong>Step 3:</strong>Use interpolation to approximate the square root. Since 0.4 is closer to 0.36, we can start with an initial guess of 0.63.</p>
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<p><strong>Step 4:</strong>Refine the approximation by checking the squares of values around the initial guess until the desired precision is achieved.</p>
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<p><strong>Step 4:</strong>Refine the approximation by checking the squares of values around the initial guess until the desired precision is achieved.</p>
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<p>Thus, the square root of 0.4 is approximately 0.632455.</p>
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<p>Thus, the square root of 0.4 is approximately 0.632455.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 2/5</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 2/5</h2>
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<p>Students may make mistakes while finding the square root, such as neglecting the importance of the negative square root or misapplying methods. Let us look at a few common mistakes in detail.</p>
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<p>Students may make mistakes while finding the square root, such as neglecting the importance of the negative square root or misapplying methods. Let us look at a few common 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 √(2/5)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(2/5)?</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 approximately 0.4 square units.</p>
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<p>The area of the square is approximately 0.4 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 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 √(2/5).</p>
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<p>The side length is given as √(2/5).</p>
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<p>Area of the square = (√(2/5))^2</p>
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<p>Area of the square = (√(2/5))^2</p>
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<p>= 2/5</p>
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<p>= 2/5</p>
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<p>= 0.4.</p>
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<p>= 0.4.</p>
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<p>Therefore, the area of the square box is 0.4 square units.</p>
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<p>Therefore, the area of the square box is 0.4 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 garden measuring 2/5 square meters is built. If each of the sides is √(2/5), what will be the square meters of half of the garden?</p>
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<p>A square-shaped garden measuring 2/5 square meters is built. If each of the sides is √(2/5), what will be the square meters of half of the garden?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>0.2 square meters</p>
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<p>0.2 square meters</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 as the garden is square-shaped.</p>
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<p>We can divide the given area by 2 as the garden is square-shaped.</p>
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<p>Dividing 2/5 (0.4) by 2 gives us 0.2.</p>
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<p>Dividing 2/5 (0.4) by 2 gives us 0.2.</p>
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<p>So half of the garden measures 0.2 square meters.</p>
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<p>So half of the garden measures 0.2 square 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 √(2/5) x 10.</p>
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<p>Calculate √(2/5) x 10.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>6.32455</p>
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<p>6.32455</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 2/5, which is approximately 0.632455.</p>
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<p>The first step is to find the square root of 2/5, which is approximately 0.632455.</p>
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<p>The second step is to multiply 0.632455 by 10.</p>
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<p>The second step is to multiply 0.632455 by 10.</p>
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<p>So, 0.632455 x 10 = 6.32455.</p>
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<p>So, 0.632455 x 10 = 6.32455.</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 (2/5 + 1/10)?</p>
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<p>What will be the square root of (2/5 + 1/10)?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The square root is approximately 0.707107.</p>
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<p>The square root is approximately 0.707107.</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 (2/5 + 1/10).</p>
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<p>To find the square root, first find the sum of (2/5 + 1/10).</p>
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<p>2/5 = 4/10,</p>
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<p>2/5 = 4/10,</p>
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<p>so 4/10 + 1/10</p>
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<p>so 4/10 + 1/10</p>
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<p>= 5/10</p>
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<p>= 5/10</p>
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<p>= 1/2.</p>
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<p>= 1/2.</p>
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<p>Therefore, √(1/2) = ±√0.5</p>
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<p>Therefore, √(1/2) = ±√0.5</p>
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<p>≈ ±0.707107.</p>
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<p>≈ ±0.707107.</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 √(2/5) units and the width ‘w’ is 5 units.</p>
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<p>Find the perimeter of a rectangle if its length ‘l’ is √(2/5) 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>The perimeter of the rectangle is approximately 11.26491 units.</p>
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<p>The perimeter of the rectangle is approximately 11.26491 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 × (√(2/5) + 5)</p>
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<p>Perimeter = 2 × (√(2/5) + 5)</p>
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<p>≈ 2 × (0.632455 + 5).</p>
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<p>≈ 2 × (0.632455 + 5).</p>
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<p>Perimeter ≈ 2 × 5.632455</p>
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<p>Perimeter ≈ 2 × 5.632455</p>
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<p>= 11.26491 units.</p>
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<p>= 11.26491 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 2/5</h2>
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<h2>FAQ on Square Root of 2/5</h2>
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<h3>1.What is √(2/5) in its simplest form?</h3>
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<h3>1.What is √(2/5) in its simplest form?</h3>
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<p>The simplest form of √(2/5) is √2/√5. Since neither number is a perfect square, the simplest radical form is √2/√5.</p>
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<p>The simplest form of √(2/5) is √2/√5. Since neither number is a perfect square, the simplest radical form is √2/√5.</p>
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<h3>2.What are the factors of 2/5?</h3>
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<h3>2.What are the factors of 2/5?</h3>
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<p>The fraction 2/5 consists of the<a>factors</a>: numerator 2 (factors are 1 and 2) and denominator 5 (factors are 1 and 5).</p>
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<p>The fraction 2/5 consists of the<a>factors</a>: numerator 2 (factors are 1 and 2) and denominator 5 (factors are 1 and 5).</p>
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<h3>3.Calculate the square of 2/5.</h3>
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<h3>3.Calculate the square of 2/5.</h3>
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<p>The square of 2/5 is found by multiplying the fraction by itself: (2/5) x (2/5) = 4/25 = 0.16.</p>
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<p>The square of 2/5 is found by multiplying the fraction by itself: (2/5) x (2/5) = 4/25 = 0.16.</p>
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<h3>4.Is 2/5 a rational number?</h3>
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<h3>4.Is 2/5 a rational number?</h3>
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<p>Yes, 2/5 is a<a>rational number</a>because it can be expressed as a ratio of two integers, 2 and 5, with the denominator<a>not equal</a>to zero.</p>
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<p>Yes, 2/5 is a<a>rational number</a>because it can be expressed as a ratio of two integers, 2 and 5, with the denominator<a>not equal</a>to zero.</p>
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<h3>5.Is 2/5 divisible by 2?</h3>
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<h3>5.Is 2/5 divisible by 2?</h3>
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<p>No, 2/5 as a fraction is not divisible by 2, since 5 is not a factor of 2.</p>
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<p>No, 2/5 as a fraction is not divisible by 2, since 5 is not a factor of 2.</p>
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<p>Instead, 2/5 can be divided as a fraction by multiplying the reciprocal of 2.</p>
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<p>Instead, 2/5 can be divided as a fraction by multiplying the reciprocal of 2.</p>
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<h2>Important Glossaries for the Square Root of 2/5</h2>
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<h2>Important Glossaries for the Square Root of 2/5</h2>
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<ul><li><strong>Square root:</strong>The square root is the number that, when multiplied by itself, gives the original number. Example: √(2/5) ≈ 0.632455. </li>
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<ul><li><strong>Square root:</strong>The square root is the number that, when multiplied by itself, gives the original number. Example: √(2/5) ≈ 0.632455. </li>
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<li><strong>Rational number:</strong>A rational number can be expressed as a fraction of two integers, where the denominator is not zero. </li>
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<li><strong>Rational number:</strong>A rational number can be expressed as a fraction of two integers, where the denominator is not zero. </li>
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<li><strong>Irrational number:</strong>An irrational number cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating. </li>
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<li><strong>Irrational number:</strong>An irrational number cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating. </li>
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<li><strong>Decimal:</strong>A number that consists of a whole number and a fractional part separated by a decimal point. For example, 0.632455 is a decimal. </li>
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<li><strong>Decimal:</strong>A number that consists of a whole number and a fractional part separated by a decimal point. For example, 0.632455 is a decimal. </li>
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<li><strong>Fraction:</strong>A fraction represents a part of a whole or any number of equal parts, expressed as a/b, where 'a' is the numerator and 'b' is the denominator.</li>
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<li><strong>Fraction:</strong>A fraction represents a part of a whole or any number of equal parts, expressed as a/b, where 'a' is the numerator and 'b' is the denominator.</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>