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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 0.05.</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 0.05.</p>
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<h2>What is the Square Root of 0.05?</h2>
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<h2>What is the Square Root of 0.05?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of a<a>number</a>. 0.05 is not a<a>perfect square</a>. The square root of 0.05 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √0.05, whereas (0.05)^(1/2) in the exponential form. √0.05 ≈ 0.2236, 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>. 0.05 is not a<a>perfect square</a>. The square root of 0.05 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √0.05, whereas (0.05)^(1/2) in the exponential form. √0.05 ≈ 0.2236, 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 0.05</h2>
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<h2>Finding the Square Root of 0.05</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 long-<a>division</a>and approximation methods 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 long-<a>division</a>and approximation methods 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 0.05 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 0.05 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. Since 0.05 is not a<a>whole number</a>, we cannot directly use prime factorization in the traditional sense. Instead, we convert to a<a>fraction</a>:</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Since 0.05 is not a<a>whole number</a>, we cannot directly use prime factorization in the traditional sense. Instead, we convert to a<a>fraction</a>:</p>
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<p><strong>Step 1:</strong>Express 0.05 as a fraction: 0.05 = 5/100 = 1/20</p>
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<p><strong>Step 1:</strong>Express 0.05 as a fraction: 0.05 = 5/100 = 1/20</p>
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<p><strong>Step 2:</strong>Prime factorize 20: 20 = 2 x 2 x 5</p>
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<p><strong>Step 2:</strong>Prime factorize 20: 20 = 2 x 2 x 5</p>
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<p><strong>Step 3:</strong>Therefore, √0.05 = √(1/20) = √(1/(22 x 5)) = 1/(2√5)</p>
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<p><strong>Step 3:</strong>Therefore, √0.05 = √(1/20) = √(1/(22 x 5)) = 1/(2√5)</p>
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<h2>Square Root of 0.05 by Long Division Method</h2>
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<h2>Square Root of 0.05 by Long Division Method</h2>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. 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. 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>First, convert 0.05 to 5/100 and then to 0.05 for division.</p>
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<p><strong>Step 1:</strong>First, convert 0.05 to 5/100 and then to 0.05 for division.</p>
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<p><strong>Step 2:</strong>Group the digits from right to left. Here, we'll work with 0.0500, grouping as 05 and 00.</p>
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<p><strong>Step 2:</strong>Group the digits from right to left. Here, we'll work with 0.0500, grouping as 05 and 00.</p>
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<p><strong>Step 3:</strong>Find a number whose square is<a>less than</a>or equal to the first group (05). That number is 2, as 2 x 2 = 4.</p>
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<p><strong>Step 3:</strong>Find a number whose square is<a>less than</a>or equal to the first group (05). That number is 2, as 2 x 2 = 4.</p>
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<p><strong>Step 4:</strong>Subtract 4 from 5, giving a<a>remainder</a>of 1.</p>
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<p><strong>Step 4:</strong>Subtract 4 from 5, giving a<a>remainder</a>of 1.</p>
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<p><strong>Step 5:</strong>Bring down the next two zeros, making the new<a>dividend</a>100.</p>
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<p><strong>Step 5:</strong>Bring down the next two zeros, making the new<a>dividend</a>100.</p>
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<p><strong>Step 6:</strong>Double the<a>divisor</a>(which is 2), making it 4.</p>
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<p><strong>Step 6:</strong>Double the<a>divisor</a>(which is 2), making it 4.</p>
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<p><strong>Step 7:</strong>Determine the next digit in the<a>quotient</a>(n), such that 4n x n ≤ 100. The number is 2, as 42 x 2 = 84.</p>
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<p><strong>Step 7:</strong>Determine the next digit in the<a>quotient</a>(n), such that 4n x n ≤ 100. The number is 2, as 42 x 2 = 84.</p>
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<p><strong>Step 8:</strong>Subtract 84 from 100 to get 16, and bring down another pair of zeros.</p>
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<p><strong>Step 8:</strong>Subtract 84 from 100 to get 16, and bring down another pair of zeros.</p>
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<p><strong>Step 9:</strong>Continue this process until the desired accuracy is achieved.</p>
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<p><strong>Step 9:</strong>Continue this process until the desired accuracy is achieved.</p>
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<h2>Square Root of 0.05 by Approximation Method</h2>
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<h2>Square Root of 0.05 by Approximation Method</h2>
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<p>The approximation method is another method for finding square roots, which is an easy way to find the square root of a given number. Let's see how to find the square root of 0.05 using the approximation method.</p>
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<p>The approximation method is another method for finding square roots, which is an easy way to find the square root of a given number. Let's see how to find the square root of 0.05 using the approximation method.</p>
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<p><strong>Step 1:</strong>Identify the perfect squares closest to 0.05. The perfect squares are 0.04 (√0.04 = 0.2) and 0.09 (√0.09 = 0.3).</p>
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<p><strong>Step 1:</strong>Identify the perfect squares closest to 0.05. The perfect squares are 0.04 (√0.04 = 0.2) and 0.09 (√0.09 = 0.3).</p>
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<p><strong>Step 2:</strong>Apply the<a>formula</a>: (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square) Using the formula: (0.05 - 0.04) / (0.09 - 0.04) = 0.01 / 0.05 = 0.2 Adding the value to the initial smaller root: 0.2 + 0.2 = 0.22.</p>
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<p><strong>Step 2:</strong>Apply the<a>formula</a>: (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square) Using the formula: (0.05 - 0.04) / (0.09 - 0.04) = 0.01 / 0.05 = 0.2 Adding the value to the initial smaller root: 0.2 + 0.2 = 0.22.</p>
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<p>So the square root of 0.05 is approximately 0.22</p>
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<p>So the square root of 0.05 is approximately 0.22</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 0.05</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 0.05</h2>
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<p>Students often make mistakes while finding square roots, such as forgetting about the negative square root, skipping long division steps, etc. Let us look at a few common mistakes in detail.</p>
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<p>Students often make mistakes while finding square roots, such as forgetting about the negative square root, skipping long division steps, etc. 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 √0.01?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √0.01?</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 0.01 square units.</p>
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<p>The area of the square is 0.01 square units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The area of the square = side2.</p>
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<p>The area of the square = side2.</p>
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<p>The side length is given as √0.01.</p>
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<p>The side length is given as √0.01.</p>
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<p>Area of the square = (√0.01) x (√0.01)</p>
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<p>Area of the square = (√0.01) x (√0.01)</p>
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<p>= 0.1 x 0.1 = 0.01</p>
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<p>= 0.1 x 0.1 = 0.01</p>
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<p>Therefore, the area of the square box is 0.01 square units.</p>
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<p>Therefore, the area of the square box is 0.01 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 measuring 0.05 square meters is built; if each of the sides is √0.05, what will be the square meters of half of the field?</p>
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<p>A square-shaped field measuring 0.05 square meters is built; if each of the sides is √0.05, what will be the square meters of half 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>0.025 square meters</p>
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<p>0.025 square meters</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The given area is 0.05 square meters.</p>
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<p>The given area is 0.05 square meters.</p>
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<p>Dividing 0.05 by 2 gives us 0.025.</p>
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<p>Dividing 0.05 by 2 gives us 0.025.</p>
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<p>So, half of the field measures 0.025 square meters.</p>
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<p>So, half of the field measures 0.025 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 √0.05 x 10.</p>
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<p>Calculate √0.05 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>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>First, find the square root of 0.05, which is approximately 0.2236.</p>
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<p>First, find the square root of 0.05, which is approximately 0.2236.</p>
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<p>Then multiply 0.2236 by 10. 0.2236 x 10 = 2.236</p>
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<p>Then multiply 0.2236 by 10. 0.2236 x 10 = 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 (0.04 + 0.01)?</p>
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<p>What will be the square root of (0.04 + 0.01)?</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 0.2236</p>
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<p>The square root is 0.2236</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, sum (0.04 + 0.01) = 0.05</p>
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<p>To find the square root, sum (0.04 + 0.01) = 0.05</p>
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<p>Then, √0.05 ≈ 0.2236</p>
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<p>Then, √0.05 ≈ 0.2236</p>
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<p>Therefore, the square root of (0.04 + 0.01) is ±0.2236</p>
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<p>Therefore, the square root of (0.04 + 0.01) is ±0.2236</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 √0.04 units and the width ‘w’ is 0.038 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √0.04 units and the width ‘w’ is 0.038 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 0.476 units.</p>
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<p>We find the perimeter of the rectangle as 0.476 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 × (√0.04 + 0.038)</p>
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<p>Perimeter = 2 × (√0.04 + 0.038)</p>
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<p>= 2 × (0.2 + 0.038)</p>
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<p>= 2 × (0.2 + 0.038)</p>
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<p>= 2 × 0.238</p>
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<p>= 2 × 0.238</p>
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<p>= 0.476 units.</p>
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<p>= 0.476 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 0.05</h2>
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<h2>FAQ on Square Root of 0.05</h2>
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<h3>1.What is √0.05 in its simplest form?</h3>
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<h3>1.What is √0.05 in its simplest form?</h3>
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<p>The simplest form of √0.05 is √(1/20), which simplifies to 1/(2√5).</p>
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<p>The simplest form of √0.05 is √(1/20), which simplifies to 1/(2√5).</p>
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<h3>2.Mention the factors of 0.05.</h3>
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<h3>2.Mention the factors of 0.05.</h3>
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<p>0.05 is a<a>decimal</a>, but as a fraction, it is 1/20.</p>
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<p>0.05 is a<a>decimal</a>, but as a fraction, it is 1/20.</p>
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<p>The factors of 20 are 1, 2, 4, 5, 10, and 20.</p>
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<p>The factors of 20 are 1, 2, 4, 5, 10, and 20.</p>
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<h3>3.Calculate the square of 0.05.</h3>
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<h3>3.Calculate the square of 0.05.</h3>
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<p>To get the square of 0.05, multiply the number by itself: 0.05 x 0.05 = 0.0025.</p>
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<p>To get the square of 0.05, multiply the number by itself: 0.05 x 0.05 = 0.0025.</p>
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<h3>4.Is 0.05 a prime number?</h3>
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<h3>4.Is 0.05 a prime number?</h3>
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<p>0.05 is not a<a>prime number</a>as it is a decimal and does not fit the definition of a prime number for whole numbers.</p>
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<p>0.05 is not a<a>prime number</a>as it is a decimal and does not fit the definition of a prime number for whole numbers.</p>
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<h3>5.0.05 is divisible by?</h3>
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<h3>5.0.05 is divisible by?</h3>
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<p>0.05 can be expressed as 1/20, and thus it is divisible by any factor of 20, which are 1, 2, 4, 5, 10, and 20.</p>
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<p>0.05 can be expressed as 1/20, and thus it is divisible by any factor of 20, which are 1, 2, 4, 5, 10, and 20.</p>
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<h2>Important Glossaries for the Square Root of 0.05</h2>
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<h2>Important Glossaries for the Square Root of 0.05</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. For example, 0.22 = 0.04, and the inverse of the square is the square root, that is, √0.04 = 0.2. </li>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. For example, 0.22 = 0.04, and the inverse of the square is the square root, that is, √0.04 = 0.2. </li>
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<li><strong>Irrational number:</strong>An irrational number is one that cannot be written in the form of p/q, where q is not equal to zero and p and q are integers. </li>
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<li><strong>Irrational number:</strong>An irrational number is one that cannot be written in the form of p/q, where q is not equal to zero and p and q are integers. </li>
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<li><strong>Decimal:</strong>A decimal is a number that has a whole number and a fractional part separated by a decimal point, such as 0.05. </li>
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<li><strong>Decimal:</strong>A decimal is a number that has a whole number and a fractional part separated by a decimal point, such as 0.05. </li>
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<li><strong>Radical form:</strong>Expressing a number under a square root symbol, such as √0.05, is called radical form. </li>
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<li><strong>Radical form:</strong>Expressing a number under a square root symbol, such as √0.05, is called radical form. </li>
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<li><strong>Exponential form:</strong>Expressing a number with a fractional exponent, such as (0.05)(1/2), is called exponential form.</li>
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<li><strong>Exponential form:</strong>Expressing a number with a fractional exponent, such as (0.05)(1/2), is called exponential form.</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>