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2026-01-01
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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 fields such as vehicle design, finance, etc. Here, we will discuss the square root of 9/25.</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 9/25.</p>
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<h2>What is the Square Root of 9/25?</h2>
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<h2>What is the Square Root of 9/25?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of a<a>number</a>. 9/25 is a<a>perfect square</a>.</p>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of a<a>number</a>. 9/25 is a<a>perfect square</a>.</p>
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<p>The square root of 9/25 can be expressed in both radical and<a>exponential form</a>.</p>
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<p>The square root of 9/25 can be expressed in both radical and<a>exponential form</a>.</p>
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<p>In radical form, it is expressed as √(9/25), whereas in exponential form it is (9/25)(1/2).</p>
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<p>In radical form, it is expressed as √(9/25), whereas in exponential form it is (9/25)(1/2).</p>
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<p>√(9/25) = √9/√25 = 3/5, 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>√(9/25) = √9/√25 = 3/5, 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 9/25</h2>
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<h2>Finding the Square Root of 9/25</h2>
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<p>The<a>prime factorization</a>method can be used for finding the<a>square root</a>of perfect square numbers, like 9/25.</p>
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<p>The<a>prime factorization</a>method can be used for finding the<a>square root</a>of perfect square numbers, like 9/25.</p>
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<p>However, other methods such as the<a>long division</a>method and approximation method are not needed in this case.</p>
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<p>However, other methods such as the<a>long division</a>method and approximation method are not needed in this case.</p>
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<p>Let's learn how to find the square root of 9/25 using the prime factorization method:</p>
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<p>Let's learn how to find the square root of 9/25 using the prime factorization method:</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>Rationalization method</li>
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<li>Rationalization 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 9/25 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 9/25 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. Let us look at how 9/25 is broken down into its prime factors:</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Let us look at how 9/25 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 9 and 25 9 can be broken down as 3 x 3: 32 25 can be broken down as 5 x 5: 52</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 9 and 25 9 can be broken down as 3 x 3: 32 25 can be broken down as 5 x 5: 52</p>
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<p><strong>Step 2:</strong>Now we have found out the prime factors of both 9 and 25. Since both 9 and 25 are perfect squares, we can take the square root of each: √(9/25) = √9/√25 = 3/5</p>
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<p><strong>Step 2:</strong>Now we have found out the prime factors of both 9 and 25. Since both 9 and 25 are perfect squares, we can take the square root of each: √(9/25) = √9/√25 = 3/5</p>
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<h2>Square Root of 9/25 by Rationalization Method</h2>
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<h2>Square Root of 9/25 by Rationalization Method</h2>
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<p>The<a>rationalization</a>method is particularly used for perfect square<a>fractions</a>.</p>
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<p>The<a>rationalization</a>method is particularly used for perfect square<a>fractions</a>.</p>
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<p>In this method, we take the square root of the<a>numerator</a>and the square root of the<a>denominator</a>separately.</p>
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<p>In this method, we take the square root of the<a>numerator</a>and the square root of the<a>denominator</a>separately.</p>
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<p>Let us now learn how to find the square root using this method, step by step:</p>
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<p>Let us now learn how to find the square root using this method, step by step:</p>
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<p><strong>Step 1:</strong>Take the square root of the numerator: √9 = 3</p>
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<p><strong>Step 1:</strong>Take the square root of the numerator: √9 = 3</p>
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<p><strong>Step 2:</strong>Take the square root of the denominator: √25 = 5</p>
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<p><strong>Step 2:</strong>Take the square root of the denominator: √25 = 5</p>
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<p><strong>Step 3:</strong>The square root of the fraction is the<a>quotient</a>of these square roots: √(9/25) = 3/5</p>
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<p><strong>Step 3:</strong>The square root of the fraction is the<a>quotient</a>of these square roots: √(9/25) = 3/5</p>
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<h2>Square Root of 9/25 by Approximation Method</h2>
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<h2>Square Root of 9/25 by Approximation Method</h2>
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<p>The approximation method is not necessary for finding the square root of 9/25, as it is a perfect square fraction.</p>
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<p>The approximation method is not necessary for finding the square root of 9/25, as it is a perfect square fraction.</p>
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<p>However, if needed, we would look at the closest perfect square fractions and use them to approximate.</p>
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<p>However, if needed, we would look at the closest perfect square fractions and use them to approximate.</p>
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<p>In this case, we directly find the square root as 3/5.</p>
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<p>In this case, we directly find the square root as 3/5.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 9/25</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 9/25</h2>
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<p>Students often make mistakes while finding the square root, such as forgetting about the negative square root or misapplying the square root to the numerator or denominator.</p>
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<p>Students often make mistakes while finding the square root, such as forgetting about the negative square root or misapplying the square root to the numerator or denominator.</p>
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<p>Here are a few common mistakes and how to avoid them.</p>
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<p>Here are 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 Max find the area of a square box if its side length is given as √(9/25)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(9/25)?</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 9/25 square units.</p>
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<p>The area of the square is 9/25 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 √(9/25).</p>
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<p>The side length is given as √(9/25).</p>
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<p>Area of the square = side2 = (3/5) x (3/5) = 9/25.</p>
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<p>Area of the square = side2 = (3/5) x (3/5) = 9/25.</p>
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<p>Therefore, the area of the square box is 9/25 square units.</p>
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<p>Therefore, the area of the square box is 9/25 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 building measuring 9/25 square meters is built; if each of the sides is √(9/25), what will be the square meters of half of the building?</p>
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<p>A square-shaped building measuring 9/25 square meters is built; if each of the sides is √(9/25), what will be the square meters 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>4.5/25 square meters</p>
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<p>4.5/25 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 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 9/25 by 2 = we get 4.5/25.</p>
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<p>Dividing 9/25 by 2 = we get 4.5/25.</p>
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<p>So half of the building measures 4.5/25 square meters.</p>
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<p>So half of the building measures 4.5/25 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 √(9/25) x 5.</p>
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<p>Calculate √(9/25) 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>3</p>
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<p>3</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 9/25, which is 3/5.</p>
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<p>First, find the square root of 9/25, which is 3/5.</p>
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<p>The second step is to multiply 3/5 by 5.</p>
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<p>The second step is to multiply 3/5 by 5.</p>
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<p>So 3/5 x 5 = 3.</p>
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<p>So 3/5 x 5 = 3.</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 (9/25 + 16/25)?</p>
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<p>What will be the square root of (9/25 + 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 1.</p>
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<p>The square root is 1.</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 (9/25 + 16/25). 9/25 + 16/25 = 25/25 = 1, and then √1 = 1.</p>
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<p>To find the square root, we need to find the sum of (9/25 + 16/25). 9/25 + 16/25 = 25/25 = 1, and then √1 = 1.</p>
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<p>Therefore, the square root of (9/25 + 16/25) is ±1.</p>
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<p>Therefore, the square root of (9/25 + 16/25) is ±1.</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 √(9/25) 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 √(9/25) 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 13/5 units.</p>
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<p>We find the perimeter of the rectangle as 13/5 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 × (√(9/25) + 3) = 2 × (3/5 + 15/5) = 2 × 18/5 = 36/5 units.</p>
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<p>Perimeter = 2 × (√(9/25) + 3) = 2 × (3/5 + 15/5) = 2 × 18/5 = 36/5 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 9/25</h2>
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<h2>FAQ on Square Root of 9/25</h2>
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<h3>1.What is √(9/25) in its simplest form?</h3>
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<h3>1.What is √(9/25) in its simplest form?</h3>
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<p>The prime factorization of 9 is 3 x 3 and for 25 is 5 x 5.</p>
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<p>The prime factorization of 9 is 3 x 3 and for 25 is 5 x 5.</p>
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<p>So, the simplest form of √(9/25) = 3/5.</p>
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<p>So, the simplest form of √(9/25) = 3/5.</p>
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<h3>2.Mention the factors of 9/25.</h3>
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<h3>2.Mention the factors of 9/25.</h3>
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<p>The factors of 9/25 are: for 9, the factors are 1, 3, 9; for 25, the factors are 1, 5, 25.</p>
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<p>The factors of 9/25 are: for 9, the factors are 1, 3, 9; for 25, the factors are 1, 5, 25.</p>
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<h3>3.Calculate the square of 9/25.</h3>
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<h3>3.Calculate the square of 9/25.</h3>
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<p>We get the square of 9/25 by multiplying the number by itself, that is (9/25) x (9/25) = 81/625.</p>
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<p>We get the square of 9/25 by multiplying the number by itself, that is (9/25) x (9/25) = 81/625.</p>
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<h3>4.Is 9/25 a rational number?</h3>
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<h3>4.Is 9/25 a rational number?</h3>
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<p>Yes, 9/25 is a rational number because it can be expressed as a fraction where both the numerator and the denominator are integers.</p>
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<p>Yes, 9/25 is a rational number because it can be expressed as a fraction where both the numerator and the denominator are integers.</p>
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<h3>5.9/25 is divisible by?</h3>
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<h3>5.9/25 is divisible by?</h3>
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<p>The fraction 9/25 in its simplest form is not divisible by any number other than 1 without resulting in a non-integer.</p>
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<p>The fraction 9/25 in its simplest form is not divisible by any number other than 1 without resulting in a non-integer.</p>
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<h2>Important Glossaries for the Square Root of 9/25</h2>
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<h2>Important Glossaries for the Square Root of 9/25</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 which 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 which 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. For example, 9 and 25 are perfect squares.</li>
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</ul><ul><li><strong>Perfect square:</strong>A number that is the square of an integer. For example, 9 and 25 are perfect squares.</li>
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</ul><ul><li><strong>Fraction:</strong>A fraction consists of a numerator and a denominator and represents a part of a whole.</li>
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</ul><ul><li><strong>Fraction:</strong>A fraction consists of a numerator and a denominator and represents a part of a whole.</li>
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</ul><ul><li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 9 is 3 x 3.</li>
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</ul><ul><li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 9 is 3 x 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>