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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 532, we need to group it as 32 and 5.</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 532, we need to group it as 32 and 5.</p>
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<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 5. We can say n is ‘2’ because 2 x 2 = 4 which is less than 5. Now the<a>quotient</a>is 2. Subtract 4 from 5, and the<a>remainder</a>is 1.</p>
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<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 5. We can say n is ‘2’ because 2 x 2 = 4 which is less than 5. Now the<a>quotient</a>is 2. Subtract 4 from 5, and the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Bring down 32, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 32, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 2 + 2 = 4, 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 dividend and quotient. Now we get 4n 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 dividend and quotient. Now we get 4n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>Find 4n x n ≤ 132. Let us consider n as 3, now 43 x 3 = 129.</p>
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<p><strong>Step 5:</strong>Find 4n x n ≤ 132. Let us consider n as 3, now 43 x 3 = 129.</p>
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<p><strong>Step 6:</strong>Subtract 132 from 129, the difference is 3, and the quotient is 23.</p>
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<p><strong>Step 6:</strong>Subtract 132 from 129, the difference is 3, and the quotient is 23.</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 300.</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 300.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 46 because 463 x 3 = 1389.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 46 because 463 x 3 = 1389.</p>
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<p><strong>Step 9:</strong>Subtracting 1389 from 3000, we get the result 1611.</p>
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<p><strong>Step 9:</strong>Subtracting 1389 from 3000, we get the result 1611.</p>
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<p><strong>Step 10:</strong>Now the quotient is 23.0.</p>
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<p><strong>Step 10:</strong>Now the quotient is 23.0.</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. So the square root of √532 ≈ 23.065</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. So the square root of √532 ≈ 23.065</p>
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