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2026-01-01
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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 need to group the numbers from right to left. In the case of 1071, we need to group it as 71 and 10.</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 1071, we need to group it as 71 and 10.</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 10. We can say n is ‘3’ because 3 x 3 = 9, which is less than 10. Now the<a>quotient</a>is 3 after subtracting 10 - 9, the<a>remainder</a>is 1.</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 10. We can say n is ‘3’ because 3 x 3 = 9, which is less than 10. Now the<a>quotient</a>is 3 after subtracting 10 - 9, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Bring down 71, making the new<a>dividend</a>171. 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>Bring down 71, making the new<a>dividend</a>171. 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 the sum of the previous divisor and a number. Now we get 6n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the previous divisor and a number. Now we get 6n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n x n ≤ 171. Let us consider n as 2, now 62 x 2 = 124.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n x n ≤ 171. Let us consider n as 2, now 62 x 2 = 124.</p>
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<p><strong>Step 6:</strong>Subtract 171 from 124. The difference is 47, and the quotient is 32.</p>
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<p><strong>Step 6:</strong>Subtract 171 from 124. The difference is 47, and the quotient is 32.</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 4700.</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 4700.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. Trying 649 x 7 = 4543.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. Trying 649 x 7 = 4543.</p>
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<p><strong>Step 9:</strong>Subtracting 4543 from 4700, we get the result 157.</p>
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<p><strong>Step 9:</strong>Subtracting 4543 from 4700, we get the result 157.</p>
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<p><strong>Step 10:</strong>Now the quotient is 32.7.</p>
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<p><strong>Step 10:</strong>Now the quotient is 32.7.</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 √1071 is approximately 32.718.</p>
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<p>So the square root of √1071 is approximately 32.718.</p>
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