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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 square root 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 square root 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 712, we need to group it as 12 and 7.</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 712, we need to group it as 12 and 7.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤7. We can say n as ‘2’ because 2 x 2 = 4, which is lesser than or equal to 7. Now the<a>quotient</a>is 2, and after subtracting 4 from 7, 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 ≤7. We can say n as ‘2’ because 2 x 2 = 4, which is lesser than or equal to 7. Now the<a>quotient</a>is 2, and after subtracting 4 from 7, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now let us bring down 12, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 2 + 2, we get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 12, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 2 + 2, we get 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>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<a>sum</a>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>Step 5: The next step is finding 4n x n ≤ 312. Let us consider n as 6, now 46 x 6 = 276.</p>
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<p>Step 5: The next step is finding 4n x n ≤ 312. Let us consider n as 6, now 46 x 6 = 276.</p>
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<p><strong>Step 6:</strong>Subtract 276 from 312. The difference is 36, and the quotient is 26.</p>
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<p><strong>Step 6:</strong>Subtract 276 from 312. The difference is 36, and the quotient is 26.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 3600.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 3600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 533, because 533 x 5 = 2665.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 533, because 533 x 5 = 2665.</p>
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<p><strong>Step 9:</strong>Subtracting 2665 from 3600, we get the result 935.</p>
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<p><strong>Step 9:</strong>Subtracting 2665 from 3600, we get the result 935.</p>
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<p><strong>Step 10:</strong>Now the quotient is 26.5</p>
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<p><strong>Step 10:</strong>Now the quotient is 26.5</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 √712 ≈ 26.68</p>
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<p>So the square root of √712 ≈ 26.68</p>
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