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2026-01-01
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2026-02-28
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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 the square root. The square root is used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 1.25.</p>
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<p>If a number is multiplied by itself, the result is a square. The inverse of the square is the square root. The square root is used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 1.25.</p>
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<h2>What is the Square Root of 1.25?</h2>
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<h2>What is the Square Root of 1.25?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>squaring a<a>number</a>. 1.25 is not a<a>perfect square</a>. The square root of 1.25 can be expressed in radical form as √1.25, and in<a>exponential form</a>as (1.25)^(1/2). The value of √1.25 is approximately 1.1180339887, which is an<a>irrational number</a>since it cannot be expressed as a simple<a>fraction</a>.</p>
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<p>The<a>square</a>root is the inverse<a>of</a>squaring a<a>number</a>. 1.25 is not a<a>perfect square</a>. The square root of 1.25 can be expressed in radical form as √1.25, and in<a>exponential form</a>as (1.25)^(1/2). The value of √1.25 is approximately 1.1180339887, which is an<a>irrational number</a>since it cannot be expressed as a simple<a>fraction</a>.</p>
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<h2>Finding the Square Root of 1.25</h2>
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<h2>Finding the Square Root of 1.25</h2>
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<p>For calculating the<a>square root</a>of non-perfect squares like 1.25, methods such as the<a>long division</a>method and approximation method are used. Let's explore these methods:</p>
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<p>For calculating the<a>square root</a>of non-perfect squares like 1.25, methods such as the<a>long division</a>method and approximation method are used. Let's explore these methods:</p>
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<ul><li>Long division method </li>
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<ul><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 1.25 by Long Division Method</h2>
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</ul><h2>Square Root of 1.25 by Long Division Method</h2>
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<p>The long<a>division</a>method is effective for finding the square root of non-perfect squares. Let's find the square root of 1.25 using this method step by step:</p>
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<p>The long<a>division</a>method is effective for finding the square root of non-perfect squares. Let's find the square root of 1.25 using this method step by step:</p>
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<p><strong>Step 1:</strong>Pair the digits from right to left; here, 1 and 25 are paired as 1.25.</p>
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<p><strong>Step 1:</strong>Pair the digits from right to left; here, 1 and 25 are paired as 1.25.</p>
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<p><strong>Step 2:</strong>Find the largest number whose square is<a>less than</a>or equal to 1. Only 1 fits this condition. Now, the<a>quotient</a>is 1, and the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Find the largest number whose square is<a>less than</a>or equal to 1. Only 1 fits this condition. Now, the<a>quotient</a>is 1, and the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Bring down 25, making the new<a>dividend</a>125. Double the quotient, which gives us 2, our new<a>divisor</a>.</p>
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<p><strong>Step 3:</strong>Bring down 25, making the new<a>dividend</a>125. Double the quotient, which gives us 2, our new<a>divisor</a>.</p>
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<p><strong>Step 4:</strong>Find a number (n) such that 2n × n is less than or equal to 125. Here, n is 5 because 25 × 5 = 125.</p>
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<p><strong>Step 4:</strong>Find a number (n) such that 2n × n is less than or equal to 125. Here, n is 5 because 25 × 5 = 125.</p>
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<p><strong>Step 5:</strong>Subtract 125 from 125, resulting in 0.</p>
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<p><strong>Step 5:</strong>Subtract 125 from 125, resulting in 0.</p>
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<p><strong>Step 6:</strong>Since the remainder is zero, the square root of 1.25 is 1.118 approximately.</p>
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<p><strong>Step 6:</strong>Since the remainder is zero, the square root of 1.25 is 1.118 approximately.</p>
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<h2>Square Root of 1.25 by Approximation Method</h2>
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<h2>Square Root of 1.25 by Approximation Method</h2>
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<p>The approximation method is a straightforward way to find the square root of a number. Let's find the square root of 1.25 using this method:</p>
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<p>The approximation method is a straightforward way to find the square root of a number. Let's find the square root of 1.25 using this method:</p>
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<p><strong>Step 1:</strong>Identify perfect squares between which 1.25 lies. The closest perfect square below 1.25 is 1 (√1 = 1), and above is 1.44 (√1.44 = 1.2).</p>
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<p><strong>Step 1:</strong>Identify perfect squares between which 1.25 lies. The closest perfect square below 1.25 is 1 (√1 = 1), and above is 1.44 (√1.44 = 1.2).</p>
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<p><strong>Step 2:</strong>Use interpolation to approximate the square root: (1.25 - 1) / (1.44 - 1) = 0.25 / 0.44 ≈ 0.568</p>
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<p><strong>Step 2:</strong>Use interpolation to approximate the square root: (1.25 - 1) / (1.44 - 1) = 0.25 / 0.44 ≈ 0.568</p>
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<p><strong>Step 3:</strong>Add this<a>decimal</a>to the square root of the smaller perfect square: 1 + 0.568 ≈ 1.118</p>
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<p><strong>Step 3:</strong>Add this<a>decimal</a>to the square root of the smaller perfect square: 1 + 0.568 ≈ 1.118</p>
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<p>Thus, the square root of 1.25 is approximately 1.118.</p>
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<p>Thus, the square root of 1.25 is approximately 1.118.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1.25</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1.25</h2>
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<p>Students often make mistakes while finding square roots, such as overlooking the negative square root or skipping steps in the long division method. Let’s review some common mistakes and how to avoid them.</p>
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<p>Students often make mistakes while finding square roots, such as overlooking the negative square root or skipping steps in the long division method. Let’s review some 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 √1.25?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √1.25?</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 approximately 1.25 square units.</p>
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<p>The area of the square is approximately 1.25 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 a square is given by side².</p>
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<p>The area of a square is given by side².</p>
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<p>The side length is √1.25.</p>
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<p>The side length is √1.25.</p>
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<p>Area = (√1.25)² = 1.25.</p>
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<p>Area = (√1.25)² = 1.25.</p>
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<p>Therefore, the area of the square box is approximately 1.25 square units.</p>
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<p>Therefore, the area of the square box is approximately 1.25 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 measures 1.25 square meters in area. What is the side length of the building?</p>
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<p>A square-shaped building measures 1.25 square meters in area. What is the side length 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>The side length is approximately 1.118 meters.</p>
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<p>The side length is approximately 1.118 meters.</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 with area A is √A.</p>
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<p>The side length of a square with area A is √A.</p>
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<p>Side length = √1.25 ≈ 1.118 meters.</p>
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<p>Side length = √1.25 ≈ 1.118 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 √1.25 × 5.</p>
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<p>Calculate √1.25 × 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>Approximately 5.59</p>
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<p>Approximately 5.59</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 1.25, which is approximately 1.118.</p>
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<p>First, find the square root of 1.25, which is approximately 1.118.</p>
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<p>Then multiply by 5: 1.118 × 5 ≈ 5.59.</p>
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<p>Then multiply by 5: 1.118 × 5 ≈ 5.59.</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 (0.5 + 0.75)?</p>
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<p>What will be the square root of (0.5 + 0.75)?</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 approximately 1.118.</p>
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<p>The square root is approximately 1.118.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the sum: 0.5 + 0.75 = 1.25.</p>
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<p>First, find the sum: 0.5 + 0.75 = 1.25.</p>
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<p>The square root of 1.25 is approximately 1.118.</p>
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<p>The square root of 1.25 is approximately 1.118.</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 a rectangle if its length ‘l’ is √1.25 units and the width ‘w’ is 2 units.</p>
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<p>Find the perimeter of a rectangle if its length ‘l’ is √1.25 units and the width ‘w’ is 2 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 perimeter of the rectangle is approximately 6.236 units.</p>
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<p>The perimeter of the rectangle is approximately 6.236 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Perimeter of a rectangle = 2 × (length + width).</p>
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<p>Perimeter of a rectangle = 2 × (length + width).</p>
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<p>Perimeter = 2 × (√1.25 + 2) ≈ 2 × (1.118 + 2) = 6.236 units.</p>
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<p>Perimeter = 2 × (√1.25 + 2) ≈ 2 × (1.118 + 2) = 6.236 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 1.25</h2>
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<h2>FAQ on Square Root of 1.25</h2>
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<h3>1.What is √1.25 in its simplest form?</h3>
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<h3>1.What is √1.25 in its simplest form?</h3>
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<p>The simplest form of √1.25 is approximately 1.118, as it cannot be simplified further in radical form.</p>
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<p>The simplest form of √1.25 is approximately 1.118, as it cannot be simplified further in radical form.</p>
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<h3>2.Mention the factors of 1.25.</h3>
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<h3>2.Mention the factors of 1.25.</h3>
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<p>Factors of 1.25 include 1, 1.25, 0.25, and 5.</p>
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<p>Factors of 1.25 include 1, 1.25, 0.25, and 5.</p>
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<h3>3.Calculate the square of 1.25.</h3>
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<h3>3.Calculate the square of 1.25.</h3>
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<p>To find the square of 1.25, multiply it by itself: 1.25 × 1.25 = 1.5625.</p>
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<p>To find the square of 1.25, multiply it by itself: 1.25 × 1.25 = 1.5625.</p>
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<h3>4.Is 1.25 a prime number?</h3>
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<h3>4.Is 1.25 a prime number?</h3>
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<h3>5.1.25 is divisible by?</h3>
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<h3>5.1.25 is divisible by?</h3>
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<p>1.25 is divisible by 1 and 0.25.</p>
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<p>1.25 is divisible by 1 and 0.25.</p>
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<h2>Important Glossaries for the Square Root of 1.25</h2>
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<h2>Important Glossaries for the Square Root of 1.25</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of squaring a number. For example, 3² = 9, and the inverse of this is √9 = 3.</li>
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<ul><li><strong>Square root:</strong>A square root is the inverse of squaring a number. For example, 3² = 9, and the inverse of this is √9 = 3.</li>
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</ul><ul><li><strong>Irrational number:</strong>An irrational number cannot be expressed as a fraction of two integers. For example, √2 is irrational.</li>
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</ul><ul><li><strong>Irrational number:</strong>An irrational number cannot be expressed as a fraction of two integers. For example, √2 is irrational.</li>
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</ul><ul><li><strong>Radical form:</strong>Radical form refers to the expression of a number using a root symbol, such as √1.25.</li>
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</ul><ul><li><strong>Radical form:</strong>Radical form refers to the expression of a number using a root symbol, such as √1.25.</li>
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</ul><ul><li><strong>Decimal approximation:</strong>Decimal approximation is expressing a number with a finite number of decimal places, often used for irrational numbers.</li>
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</ul><ul><li><strong>Decimal approximation:</strong>Decimal approximation is expressing a number with a finite number of decimal places, often used for irrational numbers.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 4 is a perfect square because it is 2².</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 4 is a perfect square because it is 2².</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>