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Original
2026-01-01
Modified
2026-02-28
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<p>The long<a>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 long<a>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 group the numbers from right to left. In the case of 13.1, we consider it as 13.10 for easy calculation.</p>
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<p><strong>Step 1:</strong>To begin with, we group the numbers from right to left. In the case of 13.1, we consider it as 13.10 for easy calculation.</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 13. We can say n is ‘3’ because 3 × 3 = 9, which is less than 13. Now the<a>quotient</a>is 3, after subtracting 13 - 9, 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 13. We can say n is ‘3’ because 3 × 3 = 9, which is less than 13. Now the<a>quotient</a>is 3, after subtracting 13 - 9, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Bring down 10 to make the new<a>dividend</a>40. Add the old<a>divisor</a>with the same number (3 + 3 = 6) to get the new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 10 to make the new<a>dividend</a>40. Add the old<a>divisor</a>with the same number (3 + 3 = 6) to get the new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor is now 6n. We need to find a value of n such that 6n × n ≤ 40. Let us consider n as 6, now 66 × 6 = 396.</p>
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<p><strong>Step 4:</strong>The new divisor is now 6n. We need to find a value of n such that 6n × n ≤ 40. Let us consider n as 6, now 66 × 6 = 396.</p>
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<p><strong>Step 5:</strong>Subtract 40 from 36, the difference is 4, and the quotient is 3.6.</p>
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<p><strong>Step 5:</strong>Subtract 40 from 36, the difference is 4, and the quotient is 3.6.</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 zeroes to the dividend. The new dividend is 400.</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 zeroes to the dividend. The new dividend is 400.</p>
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<p><strong>Step 7:</strong>Find the new divisor, which is 72 because 72 × 5 = 360.</p>
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<p><strong>Step 7:</strong>Find the new divisor, which is 72 because 72 × 5 = 360.</p>
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<p><strong>Step 8:</strong>Subtract 360 from 400 to get the result 40.</p>
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<p><strong>Step 8:</strong>Subtract 360 from 400 to get the result 40.</p>
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<p><strong>Step 9:</strong>The quotient is 3.61, continue these steps until we get two numbers after the decimal point. If no decimal values exist, continue until the remainder is zero.</p>
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<p><strong>Step 9:</strong>The quotient is 3.61, continue these steps until we get two numbers after the decimal point. If no decimal values exist, continue until the remainder is zero.</p>
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<p>So the square root of √13.1 is approximately 3.619.</p>
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<p>So the square root of √13.1 is approximately 3.619.</p>
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