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2026-01-01
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<p>110 Learners</p>
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<p>Last updated on<strong>December 15, 2025</strong></p>
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<p>Last updated on<strong>December 15, 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 49/100.</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 49/100.</p>
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<h2>What is the Square Root of 49/100?</h2>
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<h2>What is the Square Root of 49/100?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>.</p>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>.</p>
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<p>49/100 is a<a>perfect square</a>.</p>
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<p>49/100 is a<a>perfect square</a>.</p>
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<p>The square root of 49/100 is expressed in both radical and<a>exponential form</a>.</p>
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<p>The square root of 49/100 is expressed in both radical and<a>exponential form</a>.</p>
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<p>In radical form, it is expressed as √(49/100), whereas (49/100)(1/2) in exponential form. √(49/100) = 7/10, which is a<a>rational number</a>because it can 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>In radical form, it is expressed as √(49/100), whereas (49/100)(1/2) in exponential form. √(49/100) = 7/10, which is a<a>rational number</a>because it can 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 49/100</h2>
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<h2>Finding the Square Root of 49/100</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers.</p>
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<p>The<a>prime factorization</a>method is used for perfect square numbers.</p>
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<p>For 49/100, we can use the prime factorization method. Let us now learn the following methods:</p>
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<p>For 49/100, we can use the prime factorization method. 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>Simplification method</li>
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<li>Simplification method</li>
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</ul><h2>Square Root of 49/100 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 49/100 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.</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number.</p>
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<p>Now let us look at how 49/100 is broken down into its prime factors:</p>
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<p>Now let us look at how 49/100 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 49 and 100 Breaking it down, 49 = 7 x 7 and 100 = 2 x 2 x 5 x 5</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 49 and 100 Breaking it down, 49 = 7 x 7 and 100 = 2 x 2 x 5 x 5</p>
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<p><strong>Step 2:</strong>Now we have found the prime factors of 49 and 100. The second step is to take the<a>square root</a>of each. √49 = √(7 x 7) = 7 √100 = √(2 x 2 x 5 x 5) = 10</p>
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<p><strong>Step 2:</strong>Now we have found the prime factors of 49 and 100. The second step is to take the<a>square root</a>of each. √49 = √(7 x 7) = 7 √100 = √(2 x 2 x 5 x 5) = 10</p>
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<p>Therefore, the square root of 49/100 is 7/10.</p>
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<p>Therefore, the square root of 49/100 is 7/10.</p>
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<h2>Square Root of 49/100 by Simplification Method</h2>
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<h2>Square Root of 49/100 by Simplification Method</h2>
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<p>The simplification method makes it easy to find the square roots of<a>fractions</a>. Let us learn how to find the square root of 49/100 using this method:</p>
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<p>The simplification method makes it easy to find the square roots of<a>fractions</a>. Let us learn how to find the square root of 49/100 using this method:</p>
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<p><strong>Step 1:</strong>Express each part of the fraction as a square. 49/100 = (72)/(102)</p>
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<p><strong>Step 1:</strong>Express each part of the fraction as a square. 49/100 = (72)/(102)</p>
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<p><strong>Step 2:</strong>Take the square root of the<a>numerator</a>and the<a>denominator</a>. √49/100 = √(72)/√(12) = 7/10</p>
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<p><strong>Step 2:</strong>Take the square root of the<a>numerator</a>and the<a>denominator</a>. √49/100 = √(72)/√(12) = 7/10</p>
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<p>Thus, the square root of 49/100 is 7/10.</p>
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<p>Thus, the square root of 49/100 is 7/10.</p>
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<h2>Square Root of 49/100 by Approximation Method</h2>
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<h2>Square Root of 49/100 by Approximation Method</h2>
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<p>The approximation method is not needed for perfect squares like 49/100, as we can directly find the square root by simplification.</p>
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<p>The approximation method is not needed for perfect squares like 49/100, as we can directly find the square root by simplification.</p>
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<p>However, if desired, an approximation can confirm the result.</p>
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<p>However, if desired, an approximation can confirm the result.</p>
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<p><strong>Step 1:</strong>Recognize that 49/100 is between two perfect squares, 0/100 (0) and 100/100 (1).</p>
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<p><strong>Step 1:</strong>Recognize that 49/100 is between two perfect squares, 0/100 (0) and 100/100 (1).</p>
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<p><strong>Step 2:</strong>Calculate the square root, knowing that 49/100 is a perfect square itself.</p>
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<p><strong>Step 2:</strong>Calculate the square root, knowing that 49/100 is a perfect square itself.</p>
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<p>Thus, 7/10 is an exact result, aligning with our perfect square identification.</p>
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<p>Thus, 7/10 is an exact result, aligning with our perfect square identification.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 49/100</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 49/100</h2>
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<p>Students often make mistakes while finding the square root, such as confusing perfect squares with non-perfect squares.</p>
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<p>Students often make mistakes while finding the square root, such as confusing perfect squares with non-perfect squares.</p>
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<p>Let us look at a few common mistakes and how to avoid them.</p>
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<p>Let us look at a few common mistakes and how to avoid them.</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 Emma find the area of a square box if its side length is given as √(16/25)?</p>
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<p>Can you help Emma find the area of a square box if its side length is given as √(16/25)?</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 16/25 square units.</p>
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<p>The area of the square is 16/25 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 √(16/25).</p>
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<p>The side length is given as √(16/25).</p>
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<p>Area of the square = side² = (√16/25) x (√16/25) = 4/5 x 4/5 = 16/25</p>
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<p>Area of the square = side² = (√16/25) x (√16/25) = 4/5 x 4/5 = 16/25</p>
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<p>Therefore, the area of the square box is 16/25 square units.</p>
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<p>Therefore, the area of the square box is 16/25 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 49/100 square meters is planned; if each of the sides is √(49/100), what will be the area of half of the garden?</p>
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<p>A square-shaped garden measuring 49/100 square meters is planned; if each of the sides is √(49/100), what will be the area 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>49/200 square meters</p>
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<p>49/200 square meters</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We can just divide the given area by 2 as the garden is square-shaped.</p>
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<p>We can just divide the given area by 2 as the garden is square-shaped.</p>
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<p>Dividing 49/100 by 2 = 49/200</p>
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<p>Dividing 49/100 by 2 = 49/200</p>
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<p>So half of the garden measures 49/200 square meters.</p>
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<p>So half of the garden measures 49/200 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 √(49/100) x 3.</p>
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<p>Calculate √(49/100) x 3.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>2.1</p>
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<p>2.1</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 49/100, which is 7/10.</p>
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<p>The first step is to find the square root of 49/100, which is 7/10.</p>
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<p>The second step is to multiply 7/10 with 3.</p>
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<p>The second step is to multiply 7/10 with 3.</p>
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<p>So 7/10 x 3 = 21/10 = 2.1</p>
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<p>So 7/10 x 3 = 21/10 = 2.1</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 (49/100 + 9/100)?</p>
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<p>What will be the square root of (49/100 + 9/100)?</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 4/5.</p>
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<p>The square root is 4/5.</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, we need to find the sum of (49/100 + 9/100).</p>
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<p>To find the square root, we need to find the sum of (49/100 + 9/100).</p>
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<p>49/100 + 9/100 = 58/100, and then √(58/100) = √(29/50).</p>
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<p>49/100 + 9/100 = 58/100, and then √(58/100) = √(29/50).</p>
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<p>The expression simplifies to 4/5.</p>
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<p>The expression simplifies to 4/5.</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 √(49/100) units and the width ‘w’ is 1 unit.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √(49/100) units and the width ‘w’ is 1 unit.</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 2.4 units.</p>
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<p>The perimeter of the rectangle is 2.4 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 × (√(49/100) + 1)</p>
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<p>Perimeter = 2 × (√(49/100) + 1)</p>
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<p>= 2 × (0.7 + 1)</p>
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<p>= 2 × (0.7 + 1)</p>
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<p>= 2 × 1.7</p>
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<p>= 2 × 1.7</p>
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<p>= 3.4 units.</p>
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<p>= 3.4 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 49/100</h2>
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<h2>FAQ on Square Root of 49/100</h2>
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<h3>1.What is √(49/100) in its simplest form?</h3>
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<h3>1.What is √(49/100) in its simplest form?</h3>
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<p>The simplest form of √(49/100) = √(72/102) = 7/10.</p>
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<p>The simplest form of √(49/100) = √(72/102) = 7/10.</p>
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<h3>2.Mention the factors of 49/100.</h3>
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<h3>2.Mention the factors of 49/100.</h3>
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<p>Factors of 49/100 are fractions formed by the factors of 49 and 100, such as (1 x 1)/(2 x 2 x 5 x 5).</p>
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<p>Factors of 49/100 are fractions formed by the factors of 49 and 100, such as (1 x 1)/(2 x 2 x 5 x 5).</p>
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<h3>3.Calculate the square of 49/100.</h3>
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<h3>3.Calculate the square of 49/100.</h3>
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<p>We get the square of 49/100 by multiplying the number by itself, that is (49/100) x (49/100) = 2401/10000.</p>
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<p>We get the square of 49/100 by multiplying the number by itself, that is (49/100) x (49/100) = 2401/10000.</p>
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<h3>4.Is 49/100 a rational number?</h3>
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<h3>4.Is 49/100 a rational number?</h3>
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<p>Yes, 49/100 is a rational number because it can be expressed as a fraction with integers, where the denominator is not zero.</p>
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<p>Yes, 49/100 is a rational number because it can be expressed as a fraction with integers, where the denominator is not zero.</p>
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<h3>5.49/100 is divisible by?</h3>
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<h3>5.49/100 is divisible by?</h3>
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<p>49/100 is divisible by its factors, such as 1/100, 7/50, and 49/100.</p>
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<p>49/100 is divisible by its factors, such as 1/100, 7/50, and 49/100.</p>
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<h2>Important Glossaries for the Square Root of 49/100</h2>
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<h2>Important Glossaries for the Square Root of 49/100</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 42 = 16, and the inverse of the square is the square root, that is, √16 = 4. </li>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 42 = 16, and the inverse of the square is the square root, that is, √16 = 4. </li>
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<li><strong>Rational number:</strong>A rational number is a number that can 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>Rational number:</strong>A rational number is a number that can 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>Perfect square:</strong>A number that is the square of an integer. Example: 49 and 100 are perfect squares.</li>
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<li><strong>Perfect square:</strong>A number that is the square of an integer. Example: 49 and 100 are perfect squares.</li>
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<li><strong>Fraction:</strong>A way of expressing numbers that are not whole, using two integers, a numerator, and a denominator. Example: 49/100.</li>
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<li><strong>Fraction:</strong>A way of expressing numbers that are not whole, using two integers, a numerator, and a denominator. Example: 49/100.</li>
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<li><strong>Simplification:</strong>The process of reducing a mathematical expression to its simplest form. For example, simplifying √(49/100) to 7/10.</li>
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<li><strong>Simplification:</strong>The process of reducing a mathematical expression to its simplest form. For example, simplifying √(49/100) to 7/10.</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>