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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 64/121.</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 64/121.</p>
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<h2>What is the Square Root of 64/121?</h2>
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<h2>What is the Square Root of 64/121?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. The<a>fraction</a>64/121 can be expressed as a<a>perfect square</a>. The square root of 64/121 is expressed in both radical and exponential forms. In radical form, it is expressed as √(64/121), whereas (64/121)^(1/2) is in the<a>exponential form</a>. √(64/121) = 8/11, which is a<a>rational number</a>because it can be expressed in the form of p/q, where p and q are integers 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>. The<a>fraction</a>64/121 can be expressed as a<a>perfect square</a>. The square root of 64/121 is expressed in both radical and exponential forms. In radical form, it is expressed as √(64/121), whereas (64/121)^(1/2) is in the<a>exponential form</a>. √(64/121) = 8/11, which is a<a>rational number</a>because it can be expressed in the form of p/q, where p and q are integers and q ≠ 0.</p>
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<h2>Finding the Square Root of 64/121</h2>
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<h2>Finding the Square Root of 64/121</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. Since 64/121 is a perfect square, we can use prime factorization, along with other methods if necessary. 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. Since 64/121 is a perfect square, we can use prime factorization, along with other methods if necessary. 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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<li>Verification method</li>
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<li>Verification method</li>
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</ul><h2>Square Root of 64/121 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 64/121 by Prime Factorization Method</h2>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 64 and 121 are broken down into their prime factors.</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 64 and 121 are broken down into their prime factors.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 64 and 121.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 64 and 121.</p>
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<ul><li>64 can be broken down as 2 x 2 x 2 x 2 x 2 x 2 (<a>i</a>.e., 2^6). </li>
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<ul><li>64 can be broken down as 2 x 2 x 2 x 2 x 2 x 2 (<a>i</a>.e., 2^6). </li>
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<li>121 can be broken down as 11 x 11 (i.e., 11^2).</li>
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<li>121 can be broken down as 11 x 11 (i.e., 11^2).</li>
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</ul><p><strong>Step 2</strong>: Now that we found the prime factors, we can take the<a>square root</a>of each part. √(64/121) = √(2^6)/√(11^2) = (2^3)/(11) = 8/11.</p>
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</ul><p><strong>Step 2</strong>: Now that we found the prime factors, we can take the<a>square root</a>of each part. √(64/121) = √(2^6)/√(11^2) = (2^3)/(11) = 8/11.</p>
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<h2>Square Root of 64/121 by Simplification Method</h2>
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<h2>Square Root of 64/121 by Simplification Method</h2>
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<p>The simplification method is a straightforward way to find the square root of a fraction if both<a>numerator and denominator</a>are perfect squares.</p>
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<p>The simplification method is a straightforward way to find the square root of a fraction if both<a>numerator and denominator</a>are perfect squares.</p>
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<p><strong>Step 1:</strong>Identify the square roots of the numerator and the denominator separately. </p>
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<p><strong>Step 1:</strong>Identify the square roots of the numerator and the denominator separately. </p>
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<ul><li>The square root of 64 is 8. </li>
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<ul><li>The square root of 64 is 8. </li>
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<li>The square root of 121 is 11.</li>
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<li>The square root of 121 is 11.</li>
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</ul><p><strong>Step 2:</strong>Divide the square root of the numerator by the square root of the denominator.</p>
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</ul><p><strong>Step 2:</strong>Divide the square root of the numerator by the square root of the denominator.</p>
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<p>So, √(64/121) = 8/11.</p>
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<p>So, √(64/121) = 8/11.</p>
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<h2>Verification of the Square Root of 64/121</h2>
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<h2>Verification of the Square Root of 64/121</h2>
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<p>Verification is another way to ensure that the calculation is correct.</p>
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<p>Verification is another way to ensure that the calculation is correct.</p>
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<p><strong>Step 1:</strong>Multiply the result by itself to see if it equals the original fraction. (8/11) x (8/11) = 64/121.</p>
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<p><strong>Step 1:</strong>Multiply the result by itself to see if it equals the original fraction. (8/11) x (8/11) = 64/121.</p>
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<p><strong>Step 2:</strong>Since this equals the original fraction, the square root calculation is verified.</p>
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<p><strong>Step 2:</strong>Since this equals the original fraction, the square root calculation is verified.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 64/121</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 64/121</h2>
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<p>Students make mistakes while finding the square root, such as misunderstanding fractions and skipping steps in simplification. Now let us look at a few of those mistakes that students tend to make in detail.</p>
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<p>Students make mistakes while finding the square root, such as misunderstanding fractions and skipping steps in simplification. Now let us look at a few of those mistakes that students tend to make 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 √(64/121)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(64/121)?</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 64/121 square units.</p>
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<p>The area of the square is 64/121 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 √(64/121).</p>
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<p>The side length is given as √(64/121).</p>
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<p>Area of the square = side^2 = (8/11) x (8/11) = 64/121.</p>
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<p>Area of the square = side^2 = (8/11) x (8/11) = 64/121.</p>
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<p>Therefore, the area of the square box is 64/121 square units.</p>
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<p>Therefore, the area of the square box is 64/121 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 64/121 square feet is built; if each of the sides is √(64/121), what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 64/121 square feet is built; if each of the sides is √(64/121), what will be the square feet 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>32/121 square feet</p>
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<p>32/121 square feet</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 building is square-shaped.</p>
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<p>We can just divide the given area by 2 as the building is square-shaped.</p>
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<p>Dividing 64/121 by 2 = 32/121.</p>
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<p>Dividing 64/121 by 2 = 32/121.</p>
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<p>So half of the building measures 32/121 square feet.</p>
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<p>So half of the building measures 32/121 square feet.</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 √(64/121) x 5.</p>
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<p>Calculate √(64/121) 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>40/11</p>
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<p>40/11</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 64/121, which is 8/11, the second step is to multiply 8/11 by 5.</p>
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<p>The first step is to find the square root of 64/121, which is 8/11, the second step is to multiply 8/11 by 5.</p>
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<p>So, (8/11) x 5 = 40/11.</p>
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<p>So, (8/11) x 5 = 40/11.</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 (64/121 + 1)?</p>
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<p>What will be the square root of (64/121 + 1)?</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 12/11.</p>
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<p>The square root is 12/11.</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 (64/121 + 1). 64/121 + 121/121 = 185/121.</p>
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<p>To find the square root, we need to find the sum of (64/121 + 1). 64/121 + 121/121 = 185/121.</p>
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<p>Now, √(185/121) = √185/√121 = √185/11.</p>
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<p>Now, √(185/121) = √185/√121 = √185/11.</p>
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<p>Since 185 is not a perfect square, we approximate it.</p>
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<p>Since 185 is not a perfect square, we approximate it.</p>
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<p>The approximate square root is around 12/11.</p>
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<p>The approximate square root is around 12/11.</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 √(64/121) units and the width ‘w’ is 3 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √(64/121) 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>We find the perimeter of the rectangle as 70/11 units.</p>
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<p>We find the perimeter of the rectangle as 70/11 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 × (8/11 + 3) = 2 × (8/11 + 33/11) = 2 × 41/11 = 82/11 = 70/11 units.</p>
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<p>Perimeter = 2 × (8/11 + 3) = 2 × (8/11 + 33/11) = 2 × 41/11 = 82/11 = 70/11 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 64/121</h2>
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<h2>FAQ on Square Root of 64/121</h2>
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<h3>1.What is √(64/121) in its simplest form?</h3>
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<h3>1.What is √(64/121) in its simplest form?</h3>
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<p>The simplest form of √(64/121) is 8/11.</p>
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<p>The simplest form of √(64/121) is 8/11.</p>
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<h3>2.Mention the factors of 64 and 121.</h3>
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<h3>2.Mention the factors of 64 and 121.</h3>
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<p>Factors of 64 are 1, 2, 4, 8, 16, 32, and 64. Factors of 121 are 1, 11, and 121.</p>
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<p>Factors of 64 are 1, 2, 4, 8, 16, 32, and 64. Factors of 121 are 1, 11, and 121.</p>
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<h3>3.Calculate the square of 64/121.</h3>
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<h3>3.Calculate the square of 64/121.</h3>
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<p>We get the square of 64/121 by multiplying the number by itself, that is (64/121) x (64/121) = 4096/14641.</p>
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<p>We get the square of 64/121 by multiplying the number by itself, that is (64/121) x (64/121) = 4096/14641.</p>
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<h3>4.Is 64/121 a rational number?</h3>
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<h3>4.Is 64/121 a rational number?</h3>
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<p>Yes, 64/121 is a rational number, as 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>Yes, 64/121 is a rational number, as 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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<h3>5.Is 64/121 a perfect square?</h3>
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<h3>5.Is 64/121 a perfect square?</h3>
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<p>Yes, 64/121 is a perfect square because both the numerator and the denominator are perfect squares.</p>
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<p>Yes, 64/121 is a perfect square because both the numerator and the denominator are perfect squares.</p>
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<h2>Important Glossaries for the Square Root of 64/121</h2>
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<h2>Important Glossaries for the Square Root of 64/121</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4^2 = 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: 4^2 = 16, and the inverse of the square is the square root, that is, √16 = 4.</li>
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</ul><ul><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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</ul><ul><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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</ul><ul><li><strong>Perfect square:</strong>A number that is the square of an integer. Example: 64 and 121 are perfect squares.</li>
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</ul><ul><li><strong>Perfect square:</strong>A number that is the square of an integer. Example: 64 and 121 are perfect squares.</li>
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</ul><ul><li><strong>Fraction:</strong>A way to represent numbers that are not whole, using a numerator and a denominator. Example: 64/121 is a fraction.</li>
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</ul><ul><li><strong>Fraction:</strong>A way to represent numbers that are not whole, using a numerator and a denominator. Example: 64/121 is a fraction.</li>
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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. Example: 64 = 2^6.</li>
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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. Example: 64 = 2^6.</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>