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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 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 1.48.</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 1.48.</p>
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<h2>What is the Square Root of 1.48?</h2>
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<h2>What is the Square Root of 1.48?</h2>
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<p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 1.48 is not a<a>perfect square</a>. The square root of 1.48 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √1.48, whereas (1.48)^(1/2) in the exponential form. √1.48 ≈ 1.21655, which is an<a>irrational number</a>because it cannot 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>. 1.48 is not a<a>perfect square</a>. The square root of 1.48 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √1.48, whereas (1.48)^(1/2) in the exponential form. √1.48 ≈ 1.21655, which is an<a>irrational number</a>because it cannot 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 1.48</h2>
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<h2>Finding the Square Root of 1.48</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the<a>long division</a>method and approximation method are used. Let us now learn the following methods:</p>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the<a>long division</a>method and approximation method are used. 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 1.48 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 1.48 by Prime Factorization Method</h2>
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<p>Prime factorization is the process of expressing a number as the<a>product</a>of its prime<a>factors</a>. Since 1.48 is not a perfect square, it cannot be represented through integer prime factorization. Therefore, calculating the<a>square root</a>of 1.48 using prime factorization is impractical.</p>
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<p>Prime factorization is the process of expressing a number as the<a>product</a>of its prime<a>factors</a>. Since 1.48 is not a perfect square, it cannot be represented through integer prime factorization. Therefore, calculating the<a>square root</a>of 1.48 using prime factorization is impractical.</p>
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<h2>Square Root of 1.48 by Long Division Method</h2>
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<h2>Square Root of 1.48 by Long Division Method</h2>
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. In this method, we find the square root step by step by considering pairs of digits from the<a>decimal</a>point.</p>
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. In this method, we find the square root step by step by considering pairs of digits from the<a>decimal</a>point.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the number. For 1.48, we consider it as 1.48 since it's a decimal number.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the number. For 1.48, we consider it as 1.48 since it's a decimal number.</p>
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<p><strong>Step 2:</strong>Find a number 'n' such that n² ≤ 1. The number is 1 because 1² = 1.</p>
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<p><strong>Step 2:</strong>Find a number 'n' such that n² ≤ 1. The number is 1 because 1² = 1.</p>
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<p><strong>Step 3:</strong>Subtract 1 from 1, bringing down 48, which results in 48 as the new<a>dividend</a>.</p>
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<p><strong>Step 3:</strong>Subtract 1 from 1, bringing down 48, which results in 48 as the new<a>dividend</a>.</p>
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<p><strong>Step 4:</strong>Double the number in the<a>quotient</a>(which is 1), making it 2. Find a digit 'd' such that 2d × d ≤ 48. The digit is 2 since 22 × 2 = 44.</p>
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<p><strong>Step 4:</strong>Double the number in the<a>quotient</a>(which is 1), making it 2. Find a digit 'd' such that 2d × d ≤ 48. The digit is 2 since 22 × 2 = 44.</p>
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<p><strong>Step 5:</strong>Subtract 44 from 48, yielding a<a>remainder</a>of 4. Bring down two zeroes, making the new dividend 400.</p>
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<p><strong>Step 5:</strong>Subtract 44 from 48, yielding a<a>remainder</a>of 4. Bring down two zeroes, making the new dividend 400.</p>
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<p><strong>Step 6:</strong>Repeat the process to find the next digits. Continue this process to get more decimal places.</p>
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<p><strong>Step 6:</strong>Repeat the process to find the next digits. Continue this process to get more decimal places.</p>
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<p>The square root of 1.48 is approximately 1.21655.</p>
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<p>The square root of 1.48 is approximately 1.21655.</p>
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<h2>Square Root of 1.48 by Approximation Method</h2>
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<h2>Square Root of 1.48 by Approximation Method</h2>
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<p>Approximation is an easier method to find the square root of a given number.</p>
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<p>Approximation is an easier method to find the square root of a given number.</p>
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<p><strong>Step 1:</strong>Identify two consecutive perfect squares between which 1.48 lies. The closest perfect squares are 1 (1²) and 4 (2²). √1.48 falls between 1 and 2.</p>
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<p><strong>Step 1:</strong>Identify two consecutive perfect squares between which 1.48 lies. The closest perfect squares are 1 (1²) and 4 (2²). √1.48 falls between 1 and 2.</p>
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<p><strong>Step 2:</strong>Using interpolation, we can estimate the value more precisely.</p>
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<p><strong>Step 2:</strong>Using interpolation, we can estimate the value more precisely.</p>
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<p>By estimating, we find that √1.48 is approximately 1.21655.</p>
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<p>By estimating, we find that √1.48 is approximately 1.21655.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1.48</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1.48</h2>
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<p>Students often make mistakes while finding the square root, such as forgetting about the negative square root or skipping steps in the long division method. Let us explore these common errors in detail.</p>
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<p>Students often make mistakes while finding the square root, such as forgetting about the negative square root or skipping steps in the long division method. Let us explore these common errors 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 √1.48?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √1.48?</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 1.4808 square units.</p>
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<p>The area of the square is approximately 1.4808 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 √1.48.</p>
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<p>The side length is √1.48.</p>
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<p>Area of the square = (√1.48)² = 1.48.</p>
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<p>Area of the square = (√1.48)² = 1.48.</p>
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<p>Therefore, the area of the square box is approximately 1.48 square units.</p>
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<p>Therefore, the area of the square box is approximately 1.48 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 1.48 square feet is built; if each of the sides is √1.48, what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 1.48 square feet is built; if each of the sides is √1.48, 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>0.74 square feet</p>
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<p>0.74 square feet</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We can divide the given area by 2 as the building is square-shaped.</p>
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<p>We can divide the given area by 2 as the building is square-shaped.</p>
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<p>Dividing 1.48 by 2 = 0.74</p>
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<p>Dividing 1.48 by 2 = 0.74</p>
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<p>So half of the building measures 0.74 square feet.</p>
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<p>So half of the building measures 0.74 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 √1.48 x 5.</p>
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<p>Calculate √1.48 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>Approximately 6.08275</p>
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<p>Approximately 6.08275</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 1.48, which is approximately 1.21655.</p>
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<p>First, find the square root of 1.48, which is approximately 1.21655.</p>
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<p>Then multiply 1.21655 by 5.</p>
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<p>Then multiply 1.21655 by 5.</p>
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<p>So, 1.21655 x 5 ≈ 6.08275.</p>
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<p>So, 1.21655 x 5 ≈ 6.08275.</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 (1.48 + 0.52)?</p>
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<p>What will be the square root of (1.48 + 0.52)?</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 1.414</p>
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<p>The square root is 1.414</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 (1.48 + 0.52). 1.48 + 0.52 = 2, and then √2 ≈ 1.414.</p>
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<p>To find the square root, calculate the sum of (1.48 + 0.52). 1.48 + 0.52 = 2, and then √2 ≈ 1.414.</p>
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<p>Therefore, the square root of (1.48 + 0.52) is approximately ±1.414.</p>
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<p>Therefore, the square root of (1.48 + 0.52) is approximately ±1.414.</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 √1.48 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 √1.48 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 approximately 8.4331 units.</p>
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<p>We find the perimeter of the rectangle as approximately 8.4331 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 × (√1.48 + 3) ≈ 2 × (1.21655 + 3)</p>
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<p>Perimeter = 2 × (√1.48 + 3) ≈ 2 × (1.21655 + 3)</p>
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<p>= 2 × 4.21655</p>
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<p>= 2 × 4.21655</p>
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<p>≈ 8.4331 units.</p>
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<p>≈ 8.4331 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 1.48</h2>
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<h2>FAQ on Square Root of 1.48</h2>
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<h3>1.What is √1.48 in its simplest form?</h3>
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<h3>1.What is √1.48 in its simplest form?</h3>
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<p>The simplest form of √1.48 is just its decimal approximation, which is approximately 1.21655, since 1.48 cannot be simplified into smaller integer factors under a square root.</p>
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<p>The simplest form of √1.48 is just its decimal approximation, which is approximately 1.21655, since 1.48 cannot be simplified into smaller integer factors under a square root.</p>
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<h3>2.What are the factors of 1.48?</h3>
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<h3>2.What are the factors of 1.48?</h3>
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<p>The factors of 1.48 are 1, 0.74, and 1.48, considering its decimal nature.</p>
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<p>The factors of 1.48 are 1, 0.74, and 1.48, considering its decimal nature.</p>
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<h3>3.Calculate the square of 1.48.</h3>
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<h3>3.Calculate the square of 1.48.</h3>
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<p>The square of 1.48 is obtained by multiplying the number by itself: 1.48 x 1.48 = 2.1904.</p>
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<p>The square of 1.48 is obtained by multiplying the number by itself: 1.48 x 1.48 = 2.1904.</p>
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<h3>4.Is 1.48 a prime number?</h3>
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<h3>4.Is 1.48 a prime number?</h3>
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<h3>5.Is 1.48 divisible by any integers?</h3>
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<h3>5.Is 1.48 divisible by any integers?</h3>
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<p>1.48 can be divided by integers like 1 and 2, but it results in non-integers.</p>
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<p>1.48 can be divided by integers like 1 and 2, but it results in non-integers.</p>
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<h2>Important Glossaries for the Square Root of 1.48</h2>
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<h2>Important Glossaries for the Square Root of 1.48</h2>
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<ul><li><strong>Square Root:</strong>A square root of a number is a value that, when multiplied by itself, gives the original number. For example, √4 = 2 because 2² = 4. </li>
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<ul><li><strong>Square Root:</strong>A square root of a number is a value that, when multiplied by itself, gives the original number. For example, √4 = 2 because 2² = 4. </li>
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<li><strong>Irrational Number:</strong>An irrational number cannot be expressed as a simple fraction. Examples include √2 and π. </li>
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<li><strong>Irrational Number:</strong>An irrational number cannot be expressed as a simple fraction. Examples include √2 and π. </li>
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<li><strong>Decimal:</strong>A decimal is a number that consists of a whole number and a fractional part separated by a decimal point, such as 3.14. </li>
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<li><strong>Decimal:</strong>A decimal is a number that consists of a whole number and a fractional part separated by a decimal point, such as 3.14. </li>
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<li><strong>Perfect Square:</strong>A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4². </li>
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<li><strong>Perfect Square:</strong>A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4². </li>
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<li><strong>Long Division Method:</strong>A technique used to find the square root of a number by systematically dividing and subtracting to reach a close approximation.</li>
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<li><strong>Long Division Method:</strong>A technique used to find the square root of a number by systematically dividing and subtracting to reach a close approximation.</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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<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>