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2026-01-01
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2026-02-28
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<p>527 Learners</p>
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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 and finance. Here, we will discuss the square root of 20.25.</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 and finance. Here, we will discuss the square root of 20.25.</p>
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<h2>What is the Square Root of 20.25?</h2>
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<h2>What is the Square Root of 20.25?</h2>
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<p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 20.25 is a<a>perfect square</a>. The square root of 20.25 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √20.25, whereas in exponential form it is (20.25)^(1/2). √20.25 = 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 of the square of the<a>number</a>. 20.25 is a<a>perfect square</a>. The square root of 20.25 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √20.25, whereas in exponential form it is (20.25)^(1/2). √20.25 = 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 20.25</h2>
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<h2>Finding the Square Root of 20.25</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. Other methods include<a>long division</a>and approximation methods. However, for 20.25, the square root can be directly calculated since it is a perfect square. Let us now learn the following methods:</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. Other methods include<a>long division</a>and approximation methods. However, for 20.25, the square root can be directly calculated since it is a perfect square. Let us now learn the following methods:</p>
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<ul><li>Prime factorization method</li>
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<ul><li>Prime factorization method</li>
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<li>Long division method</li>
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<li>Long division method</li>
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<li>Approximation method</li>
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<li>Approximation method</li>
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</ul><h2>Square Root of 20.25 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 20.25 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. Below is how 20.25 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. Below is how 20.25 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Express 20.25 as a<a>fraction</a>: 20.25 = 2025/100.</p>
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<p><strong>Step 1:</strong>Express 20.25 as a<a>fraction</a>: 20.25 = 2025/100.</p>
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<p><strong>Step 2:</strong>Find the prime factors of 2025. Breaking it down, we get 3 x 3 x 3 x 3 x 5 x 5:<a>3^4</a>x 5^2.</p>
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<p><strong>Step 2:</strong>Find the prime factors of 2025. Breaking it down, we get 3 x 3 x 3 x 3 x 5 x 5:<a>3^4</a>x 5^2.</p>
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<p><strong>Step 3:</strong>Since 2025 is a perfect square, its square root is the product of the square roots of its prime factors: (3^2 x 5)^2 = (3 x 5)^2 = 15^2.</p>
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<p><strong>Step 3:</strong>Since 2025 is a perfect square, its square root is the product of the square roots of its prime factors: (3^2 x 5)^2 = (3 x 5)^2 = 15^2.</p>
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<p><strong>Step 4:</strong>Since the square of 15 is 225, we know that the square root of 2025 is 45.</p>
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<p><strong>Step 4:</strong>Since the square of 15 is 225, we know that the square root of 2025 is 45.</p>
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<p>Therefore, the square root of 20.25 is 4.5.</p>
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<p>Therefore, the square root of 20.25 is 4.5.</p>
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<h2>Square Root of 20.25 by Long Division Method</h2>
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<h2>Square Root of 20.25 by Long Division Method</h2>
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. However, for a number like 20.25 which is a perfect square, we can find the square root directly or verify using the long division method. Below is a simplified explanation:</p>
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. However, for a number like 20.25 which is a perfect square, we can find the square root directly or verify using the long division method. Below is a simplified explanation:</p>
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<p><strong>Step 1:</strong>Start by expressing 20.25 as a<a>decimal</a>number.</p>
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<p><strong>Step 1:</strong>Start by expressing 20.25 as a<a>decimal</a>number.</p>
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<p><strong>Step 2:</strong>Group the numbers in pairs from the decimal point: 20, 25.</p>
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<p><strong>Step 2:</strong>Group the numbers in pairs from the decimal point: 20, 25.</p>
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<p><strong>Step 3:</strong>Find a number whose square is<a>less than</a>or equal to the first group. For 20, the closest square is 16 (4^2). Place 4 as the first digit of the square root.</p>
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<p><strong>Step 3:</strong>Find a number whose square is<a>less than</a>or equal to the first group. For 20, the closest square is 16 (4^2). Place 4 as the first digit of the square root.</p>
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<p><strong>Step 4:</strong>Bring down the next pair (25), making it 425.</p>
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<p><strong>Step 4:</strong>Bring down the next pair (25), making it 425.</p>
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<p><strong>Step 5:</strong>The new<a>divisor</a>is twice the current<a>quotient</a>(4), so it is now 8. Find a digit x such that 8x x is less than or equal to 425. The digit is 5.</p>
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<p><strong>Step 5:</strong>The new<a>divisor</a>is twice the current<a>quotient</a>(4), so it is now 8. Find a digit x such that 8x x is less than or equal to 425. The digit is 5.</p>
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<p><strong>Step 6:</strong>Multiply 85 by 5 to get 425. Subtract 425 from 425 to get 0. The quotient is 4.5.</p>
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<p><strong>Step 6:</strong>Multiply 85 by 5 to get 425. Subtract 425 from 425 to get 0. The quotient is 4.5.</p>
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<p>Thus, the square root of 20.25 is 4.5.</p>
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<p>Thus, the square root of 20.25 is 4.5.</p>
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<h2>Square Root of 20.25 by Approximation Method</h2>
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<h2>Square Root of 20.25 by Approximation Method</h2>
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<p>The approximation method is another method for finding square roots but is not necessary for perfect squares. However, it can be used for understanding:</p>
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<p>The approximation method is another method for finding square roots but is not necessary for perfect squares. However, it can be used for understanding:</p>
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<p><strong>Step 1:</strong>Find the closest perfect squares around 20.25. The closest are 16 (4^2) and 25 (5^2).</p>
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<p><strong>Step 1:</strong>Find the closest perfect squares around 20.25. The closest are 16 (4^2) and 25 (5^2).</p>
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<p><strong>Step 2:</strong>Since 20.25 is directly between these values, the square root is between 4 and 5. Given its exact position, we can calculate it precisely as 4.5.</p>
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<p><strong>Step 2:</strong>Since 20.25 is directly between these values, the square root is between 4 and 5. Given its exact position, we can calculate it precisely as 4.5.</p>
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<p>Therefore, the square root of 20.25 is approximately 4.5, which is exact due to it being a perfect square.</p>
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<p>Therefore, the square root of 20.25 is approximately 4.5, which is exact due to it being a perfect square.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 20.25</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 20.25</h2>
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<p>Students may make mistakes while finding the square root, including forgetting about the negative square root or improperly using methods. Let us look at a few of these mistakes in detail.</p>
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<p>Students may make mistakes while finding the square root, including forgetting about the negative square root or improperly using methods. Let us look at a few of these mistakes in detail.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Can you help Max find the area of a square box if its side length is given as √20.25?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √20.25?</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 20.25 square units.</p>
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<p>The area of the square is 20.25 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 = 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 √20.25.</p>
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<p>The side length is given as √20.25.</p>
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<p>Area of the square = side^2 = √20.25 x √20.25 = 4.5 × 4.5 = 20.25</p>
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<p>Area of the square = side^2 = √20.25 x √20.25 = 4.5 × 4.5 = 20.25</p>
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<p>Therefore, the area of the square box is 20.25 square units.</p>
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<p>Therefore, the area of the square box is 20.25 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 20.25 square feet is built; if each of the sides is √20.25, what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 20.25 square feet is built; if each of the sides is √20.25, 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>10.125 square feet</p>
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<p>10.125 square feet</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Since the building is square-shaped, dividing the given area by 2 gives us half of the building's area.</p>
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<p>Since the building is square-shaped, dividing the given area by 2 gives us half of the building's area.</p>
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<p>Dividing 20.25 by 2 gives us 10.125.</p>
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<p>Dividing 20.25 by 2 gives us 10.125.</p>
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<p>So half of the building measures 10.125 square feet.</p>
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<p>So half of the building measures 10.125 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 √20.25 x 5.</p>
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<p>Calculate √20.25 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>22.5</p>
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<p>22.5</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 20.25, which is 4.5.</p>
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<p>First, find the square root of 20.25, which is 4.5.</p>
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<p>Then multiply 4.5 by 5. So, 4.5 x 5 = 22.5.</p>
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<p>Then multiply 4.5 by 5. So, 4.5 x 5 = 22.5.</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 (12.25 + 8)?</p>
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<p>What will be the square root of (12.25 + 8)?</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, calculate the sum of (12.25 + 8). 12.25 + 8 = 20.25, and then √20.25 = 4.5.</p>
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<p>To find the square root, calculate the sum of (12.25 + 8). 12.25 + 8 = 20.25, and then √20.25 = 4.5.</p>
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<p>Therefore, the square root of (12.25 + 8) is ±4.5.</p>
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<p>Therefore, the square root of (12.25 + 8) is ±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 √20.25 units and the width ‘w’ is 10 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √20.25 units and the width ‘w’ is 10 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 29 units.</p>
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<p>We find the perimeter of the rectangle as 29 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 × (√20.25 + 10) = 2 × (4.5 + 10) = 2 × 14.5 = 29 units.</p>
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<p>Perimeter = 2 × (√20.25 + 10) = 2 × (4.5 + 10) = 2 × 14.5 = 29 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 20.25</h2>
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<h2>FAQ on Square Root of 20.25</h2>
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<h3>1.What is √20.25 in its simplest form?</h3>
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<h3>1.What is √20.25 in its simplest form?</h3>
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<p>The square root of 20.25, which is a perfect square, is 4.5.</p>
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<p>The square root of 20.25, which is a perfect square, is 4.5.</p>
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<h3>2.Mention the factors of 20.25.</h3>
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<h3>2.Mention the factors of 20.25.</h3>
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<p>Factors of 20.25 include 1, 3, 4.5, 6.75, 9, and 20.25.</p>
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<p>Factors of 20.25 include 1, 3, 4.5, 6.75, 9, and 20.25.</p>
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<h3>3.Calculate the square of 20.25.</h3>
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<h3>3.Calculate the square of 20.25.</h3>
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<p>The square of 20.25 is obtained by multiplying the number by itself, i.e., 20.25 x 20.25 = 410.0625.</p>
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<p>The square of 20.25 is obtained by multiplying the number by itself, i.e., 20.25 x 20.25 = 410.0625.</p>
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<h3>4.Is 20.25 a perfect square?</h3>
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<h3>4.Is 20.25 a perfect square?</h3>
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<p>Yes, 20.25 is a perfect square because its square root is a rational number, 4.5.</p>
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<p>Yes, 20.25 is a perfect square because its square root is a rational number, 4.5.</p>
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<h3>5.20.25 is divisible by?</h3>
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<h3>5.20.25 is divisible by?</h3>
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<p>20.25 is divisible by 1, 3, 4.5, 6.75, 9, and 20.25.</p>
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<p>20.25 is divisible by 1, 3, 4.5, 6.75, 9, and 20.25.</p>
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<h2>Important Glossaries for the Square Root of 20.25</h2>
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<h2>Important Glossaries for the Square Root of 20.25</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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<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 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 zero and p and q are integers. </li>
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<li><strong>Perfect square:</strong>A perfect square is a number that has an integer as its square root. For example, 16 is a perfect square because its square root is 4. </li>
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<li><strong>Perfect square:</strong>A perfect square is a number that has an integer as its square root. For example, 16 is a perfect square because its square root is 4. </li>
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<li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals. </li>
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<li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals. </li>
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<li><strong>Approximation:</strong>Approximation involves estimating the value of a number when precise calculation is not necessary.</li>
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<li><strong>Approximation:</strong>Approximation involves estimating the value of a number when precise calculation is not necessary.</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>