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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 881, we need to group it as 81 and 8.</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 881, we need to group it as 81 and 8.</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 8. We can<a>set</a>n as 2 because 2 × 2 = 4, which is less than 8. The<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</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 8. We can<a>set</a>n as 2 because 2 × 2 = 4, which is less than 8. The<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now, bring down 81, making the new<a>dividend</a>481. Add the old divisor with the same number 2 + 2 to get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now, bring down 81, making the new<a>dividend</a>481. Add the old divisor with the same number 2 + 2 to get 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the largest n such that 4n × n ≤ 481. Let’s consider n as 9; then, 49 × 9 = 441.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the largest n such that 4n × n ≤ 481. Let’s consider n as 9; then, 49 × 9 = 441.</p>
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<p><strong>Step 5:</strong>Subtract 441 from 481; the difference is 40, and the quotient is 29.</p>
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<p><strong>Step 5:</strong>Subtract 441 from 481; the difference is 40, and the quotient is 29.</p>
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<p><strong>Step 6:</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 zeros to the dividend. Now the new dividend is 4000.</p>
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<p><strong>Step 6:</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 zeros to the dividend. Now the new dividend is 4000.</p>
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<p><strong>Step 7:</strong>Now, we need to find the new divisor that is 596 because 596 × 6 = 3576.</p>
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<p><strong>Step 7:</strong>Now, we need to find the new divisor that is 596 because 596 × 6 = 3576.</p>
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<p><strong>Step 8:</strong>Subtracting 3576 from 4000, we get the result 424.</p>
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<p><strong>Step 8:</strong>Subtracting 3576 from 4000, we get the result 424.</p>
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<p><strong>Step 9:</strong>The quotient so far is 29.6. Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.</p>
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<p><strong>Step 9:</strong>The quotient so far is 29.6. Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.</p>
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<p>So the square root of √881 is approximately 29.68.</p>
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<p>So the square root of √881 is approximately 29.68.</p>
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