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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<a>square root</a>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<a>square root</a>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 1292, we need to group it as 92 and 12.</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 1292, we need to group it as 92 and 12.</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 12. We can say n as ‘3’ because 3 x 3 = 9 is lesser than or equal to 12. Now the<a>quotient</a>is 3, and after subtracting 9 from 12, the<a>remainder</a>is 3.</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 12. We can say n as ‘3’ because 3 x 3 = 9 is lesser than or equal to 12. Now the<a>quotient</a>is 3, and after subtracting 9 from 12, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now let us bring down 92, making it the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 3 + 3, we get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 92, making it the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 3 + 3, we get 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 the value of n such that 6n x n is less than or equal to 392. Let us consider n as 6, now 66 x 6 = 396.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find the value of n such that 6n x n is less than or equal to 392. Let us consider n as 6, now 66 x 6 = 396.</p>
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<p><strong>Step 5:</strong>Subtract 396 from 392, getting -4, and the quotient is 36. Since the remainder is negative, n must be adjusted.</p>
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<p><strong>Step 5:</strong>Subtract 396 from 392, getting -4, and the quotient is 36. Since the remainder is negative, n must be adjusted.</p>
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<p><strong>Step 6:</strong>Re-evaluate n and check that 65 x 5 = 325, and 392 - 325 = 67.</p>
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<p><strong>Step 6:</strong>Re-evaluate n and check that 65 x 5 = 325, and 392 - 325 = 67.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 6700.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 6700.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. 71 x 9 = 6399.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. 71 x 9 = 6399.</p>
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<p><strong>Step 9:</strong>Subtracting 6399 from 6700, we get the result 301.</p>
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<p><strong>Step 9:</strong>Subtracting 6399 from 6700, we get the result 301.</p>
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<p><strong>Step 10:</strong>Now the quotient is 35.9</p>
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<p><strong>Step 10:</strong>Now the quotient is 35.9</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 is no decimal value, 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 is no decimal value, continue till the remainder is zero.</p>
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<p>So the square root of √1292 is approximately 35.93.</p>
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<p>So the square root of √1292 is approximately 35.93.</p>
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