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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 vehicle design, finance, etc. Here, we will discuss the square root of 16/25.</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 vehicle design, finance, etc. Here, we will discuss the square root of 16/25.</p>
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<h2>What is the Square Root of 16/25?</h2>
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<h2>What is the Square Root of 16/25?</h2>
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<p>The<a>square</a>root is the inverse operation<a>of</a>squaring a<a>number</a>. The number 16/25 is a<a>perfect square</a><a>fraction</a>. The square root of 16/25 can be expressed in both radical and fractional form. In radical form, it is expressed as √(16/25), whereas in fractional form it is (16/25)^(1/2). The square root of 16/25 is 4/5, 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>The<a>square</a>root is the inverse operation<a>of</a>squaring a<a>number</a>. The number 16/25 is a<a>perfect square</a><a>fraction</a>. The square root of 16/25 can be expressed in both radical and fractional form. In radical form, it is expressed as √(16/25), whereas in fractional form it is (16/25)^(1/2). The square root of 16/25 is 4/5, 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 16/25</h2>
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<h2>Finding the Square Root of 16/25</h2>
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<p>To find the<a>square root</a>of a perfect square fraction, we can take the square root of the<a>numerator</a>and the square root of the<a>denominator</a>separately. Let's learn the following methods:</p>
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<p>To find the<a>square root</a>of a perfect square fraction, we can take the square root of the<a>numerator</a>and the square root of the<a>denominator</a>separately. Let's learn the following methods:</p>
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<ul><li>Direct calculation method </li>
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<ul><li>Direct calculation method </li>
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<li>Fraction simplification method</li>
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<li>Fraction simplification method</li>
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</ul><h3>Square Root of 16/25 by Direct Calculation Method</h3>
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</ul><h3>Square Root of 16/25 by Direct Calculation Method</h3>
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<p>The direct calculation method involves taking the square root of both the numerator and the denominator.</p>
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<p>The direct calculation method involves taking the square root of both the numerator and the denominator.</p>
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<p><strong>Step 1:</strong>Find the square root of the numerator, 16. √16 = 4</p>
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<p><strong>Step 1:</strong>Find the square root of the numerator, 16. √16 = 4</p>
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<p><strong>Step 2:</strong>Find the square root of the denominator, 25. √25 = 5</p>
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<p><strong>Step 2:</strong>Find the square root of the denominator, 25. √25 = 5</p>
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<p><strong>Step 3:</strong>Combine the results as a fraction. So, √(16/25) = 4/5</p>
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<p><strong>Step 3:</strong>Combine the results as a fraction. So, √(16/25) = 4/5</p>
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<h3>Square Root of 16/25 by Fraction Simplification Method</h3>
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<h3>Square Root of 16/25 by Fraction Simplification Method</h3>
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<p>The fraction simplification method involves simplifying the fraction by taking the square root of both the numerator and the denominator.</p>
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<p>The fraction simplification method involves simplifying the fraction by taking the square root of both the numerator and the denominator.</p>
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<p><strong>Step 1:</strong>Identify the perfect squares in the fraction 16/25. - The numerator 16 is a perfect square of 4. - The denominator 25 is a perfect square of 5.</p>
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<p><strong>Step 1:</strong>Identify the perfect squares in the fraction 16/25. - The numerator 16 is a perfect square of 4. - The denominator 25 is a perfect square of 5.</p>
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<p><strong>Step 2:</strong>Express the fraction as the<a>product</a>of its square roots. √(16/25) = √16 / √25</p>
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<p><strong>Step 2:</strong>Express the fraction as the<a>product</a>of its square roots. √(16/25) = √16 / √25</p>
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<p><strong>Step 3:</strong>Simplify the<a>expression</a>. √16 = 4 and √25 = 5 Therefore, √(16/25) = 4/5</p>
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<p><strong>Step 3:</strong>Simplify the<a>expression</a>. √16 = 4 and √25 = 5 Therefore, √(16/25) = 4/5</p>
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<h2>Applications of the Square Root of 16/25</h2>
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<h2>Applications of the Square Root of 16/25</h2>
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<p>The square root of 16/25, which is 4/5, can be applied in various situations such as:</p>
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<p>The square root of 16/25, which is 4/5, can be applied in various situations such as:</p>
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<ul><li>Calculating the dimensions of a scaled model when given in fractional form. </li>
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<ul><li>Calculating the dimensions of a scaled model when given in fractional form. </li>
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<li>Converting units when the conversion<a>factor</a>is a fraction. </li>
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<li>Converting units when the conversion<a>factor</a>is a fraction. </li>
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<li>Financial calculations involving<a>percentage</a>changes expressed as fractions.</li>
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<li>Financial calculations involving<a>percentage</a>changes expressed as fractions.</li>
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</ul><h2>Common Mistakes and How to Avoid Them in the Square Root of 16/25</h2>
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</ul><h2>Common Mistakes and How to Avoid Them in the Square Root of 16/25</h2>
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<p>Students often make mistakes while finding square roots of fractions, such as ignoring the need to simplify both the numerator and the denominator. Let's look at some common mistakes in detail.</p>
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<p>Students often make mistakes while finding square roots of fractions, such as ignoring the need to simplify both the numerator and the denominator. Let's look at some 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 side length of a square box if its area is 16/25 square units?</p>
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<p>Can you help Max find the side length of a square box if its area is 16/25 square 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 side length of the square box is 4/5 units.</p>
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<p>The side length of the square box is 4/5 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The side length of a square is the square root of its area. Given that the area is 16/25, the side length = √(16/25) = 4/5.</p>
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<p>The side length of a square is the square root of its area. Given that the area is 16/25, the side length = √(16/25) = 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 2</h3>
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<h3>Problem 2</h3>
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<p>A rectangle has an area of 16/25 square meters. If its length is 4/5 meters, what is its width?</p>
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<p>A rectangle has an area of 16/25 square meters. If its length is 4/5 meters, what is its width?</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 width of the rectangle is 1 meter.</p>
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<p>The width of the rectangle is 1 meter.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area of a rectangle = length × width.</p>
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<p>Area of a rectangle = length × width.</p>
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<p>Given area = 16/25 and length = 4/5, width = area/length = (16/25) / (4/5) = 1.</p>
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<p>Given area = 16/25 and length = 4/5, width = area/length = (16/25) / (4/5) = 1.</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 (16/25)^(1/2) × 10.</p>
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<p>Calculate (16/25)^(1/2) × 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>8</p>
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<p>8</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 16/25, which is 4/5. Then, multiply by 10: (4/5) × 10 = 8.</p>
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<p>First, find the square root of 16/25, which is 4/5. Then, multiply by 10: (4/5) × 10 = 8.</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 (9/16) + (16/25)?</p>
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<p>What will be the square root of (9/16) + (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 square root is 49/20 or 2.45</p>
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<p>The square root is 49/20 or 2.45</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the sum of (9/16) + (16/25) = (225/400) + (256/400) = 481/400. The square root of 481/400 is approximately 2.45.</p>
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<p>First, find the sum of (9/16) + (16/25) = (225/400) + (256/400) = 481/400. The square root of 481/400 is approximately 2.45.</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 hypotenuse of a right triangle if one leg is 3/5 units and the other leg is 4/5 units.</p>
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<p>Find the hypotenuse of a right triangle if one leg is 3/5 units and the other leg is 4/5 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 hypotenuse is 1 unit.</p>
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<p>The hypotenuse is 1 unit.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Using the Pythagorean theorem: hypotenuse² = (3/5)² + (4/5)² = 9/25 + 16/25 = 25/25 = 1. Therefore, the hypotenuse = √1 = 1 unit.</p>
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<p>Using the Pythagorean theorem: hypotenuse² = (3/5)² + (4/5)² = 9/25 + 16/25 = 25/25 = 1. Therefore, the hypotenuse = √1 = 1 unit.</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 16/25</h2>
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<h2>FAQ on Square Root of 16/25</h2>
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<h3>1.What is √(16/25) in its simplest form?</h3>
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<h3>1.What is √(16/25) in its simplest form?</h3>
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<p>The simplest form of √(16/25) = 4/5.</p>
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<p>The simplest form of √(16/25) = 4/5.</p>
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<h3>2.What is the square of 16/25?</h3>
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<h3>2.What is the square of 16/25?</h3>
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<p>The square of 16/25 is (16/25) × (16/25) = 256/625.</p>
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<p>The square of 16/25 is (16/25) × (16/25) = 256/625.</p>
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<h3>3.Is 16/25 a rational number?</h3>
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<h3>3.Is 16/25 a rational number?</h3>
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<p>Yes, 16/25 is a rational number because it can be expressed as a fraction of two integers.</p>
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<p>Yes, 16/25 is a rational number because it can be expressed as a fraction of two integers.</p>
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<h3>4.How do you simplify the square root of a fraction?</h3>
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<h3>4.How do you simplify the square root of a fraction?</h3>
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<p>To simplify the square root of a fraction, take the square root of the numerator and the square root of the denominator separately.</p>
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<p>To simplify the square root of a fraction, take the square root of the numerator and the square root of the denominator separately.</p>
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<h3>5.Is 16/25 a perfect square?</h3>
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<h3>5.Is 16/25 a perfect square?</h3>
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<p>Yes, 16/25 is a perfect square because its square root is a rational number, 4/5.</p>
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<p>Yes, 16/25 is a perfect square because its square root is a rational number, 4/5.</p>
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<h2>Important Glossaries for the Square Root of 16/25</h2>
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<h2>Important Glossaries for the Square Root of 16/25</h2>
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<ul><li><strong>Square root:</strong>The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √16 = 4.</li>
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<ul><li><strong>Square root:</strong>The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √16 = 4.</li>
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</ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed as the quotient or fraction of two integers.</li>
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</ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed as the quotient or fraction of two integers.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is an integer that is the square of an integer. For example, 16 and 25 are perfect squares.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is an integer that is the square of an integer. For example, 16 and 25 are perfect squares.</li>
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</ul><ul><li><strong>Fraction:</strong>A fraction represents a part of a whole or a division of quantities. It consists of a numerator and a denominator.<strong></strong></li>
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</ul><ul><li><strong>Fraction:</strong>A fraction represents a part of a whole or a division of quantities. It consists of a numerator and a denominator.<strong></strong></li>
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</ul><ul><li><strong>Principal square root:</strong>The principal square root is the non-negative square root of a number. For example, the principal square root of 9 is 3.</li>
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</ul><ul><li><strong>Principal square root:</strong>The principal square root is the non-negative square root of a number. For example, the principal square root of 9 is 3.</li>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<h2>Jaskaran Singh Saluja</h2>
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<h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>