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Original
2026-01-01
Modified
2026-02-28
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step.</p>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 1529, we can group it as 15 and 29.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 1529, we can group it as 15 and 29.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 15. We can say n as ‘3’ because 3 x 3 = 9 is less than 15. Now the<a>quotient</a>is 3, and after subtracting 9 from 15, the<a>remainder</a>is 6.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 15. We can say n as ‘3’ because 3 x 3 = 9 is less than 15. Now the<a>quotient</a>is 3, and after subtracting 9 from 15, the<a>remainder</a>is 6.</p>
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<p><strong>Step 3:</strong>Bring down 29 to the right of the remainder, making it 629. Add the old<a>divisor</a>with the same number 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 29 to the right of the remainder, making it 629. Add the old<a>divisor</a>with the same number 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find n such that 6n x n ≤ 629.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find n such that 6n x n ≤ 629.</p>
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<p><strong>Step 5:</strong>Let us consider n as 9; then 69 x 9 = 621.</p>
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<p><strong>Step 5:</strong>Let us consider n as 9; then 69 x 9 = 621.</p>
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<p><strong>Step 6:</strong>Subtract 621 from 629; the difference is 8, and the quotient is 39.</p>
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<p><strong>Step 6:</strong>Subtract 621 from 629; the difference is 8, and the quotient is 39.</p>
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<p><strong>Step 7:</strong>Since the<a>dividend</a>is less than the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 800.</p>
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<p><strong>Step 7:</strong>Since the<a>dividend</a>is less than the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 800.</p>
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<p><strong>Step 8:</strong>The new divisor is 78, because 78 x 1 = 78, which is less than 800.</p>
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<p><strong>Step 8:</strong>The new divisor is 78, because 78 x 1 = 78, which is less than 800.</p>
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<p><strong>Step 9:</strong>Subtracting 78 from 800 gives us a remainder of 722.</p>
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<p><strong>Step 9:</strong>Subtracting 78 from 800 gives us a remainder of 722.</p>
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<p><strong>Step 10:</strong>Now the quotient is 39.1</p>
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<p><strong>Step 10:</strong>Now the quotient is 39.1</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √1529 is approximately 39.099.</p>
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<p>So the square root of √1529 is approximately 39.099.</p>
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