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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, group the numbers from right to left. In the case of 1244, group it as 12 and 44.</p>
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<p><strong>Step 1:</strong>To begin with, group the numbers from right to left. In the case of 1244, group it as 12 and 44.</p>
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<p><strong>Step 2:</strong>Now find n whose square is<a>less than</a>or equal to 12. We can say n is 3 because 3 x 3 = 9, which is less than 12. Now the<a>quotient</a>is 3, and after subtracting, 12 - 9, the<a>remainder</a>is 3.</p>
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<p><strong>Step 2:</strong>Now find n whose square is<a>less than</a>or equal to 12. We can say n is 3 because 3 x 3 = 9, which is less than 12. Now the<a>quotient</a>is 3, and after subtracting, 12 - 9, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Bring down 44, which is the new<a>dividend</a>. Add the old<a>divisor</a>'s last digit (3) to the same number to get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 44, which is the new<a>dividend</a>. Add the old<a>divisor</a>'s last digit (3) to the same number to get 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor is 6n. Find the value of n such that 6n x n ≤ 344.</p>
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<p><strong>Step 4:</strong>The new divisor is 6n. Find the value of n such that 6n x n ≤ 344.</p>
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<p><strong>Step 5:</strong>Let n be 5, now 65 x 5 = 325.</p>
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<p><strong>Step 5:</strong>Let n be 5, now 65 x 5 = 325.</p>
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<p><strong>Step 6:</strong>Subtract 344 from 325; the difference is 19, and the quotient is 35.</p>
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<p><strong>Step 6:</strong>Subtract 344 from 325; the difference is 19, and the quotient is 35.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, add a decimal point, allowing us to bring down two zeroes to the dividend. Now the new dividend is 1900.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, add a decimal point, allowing us to bring down two zeroes to the dividend. Now the new dividend is 1900.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 702, since 702 x 2 = 1404.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 702, since 702 x 2 = 1404.</p>
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<p><strong>Step 9:</strong>Subtracting 1404 from 1900 gives a result of 496.</p>
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<p><strong>Step 9:</strong>Subtracting 1404 from 1900 gives a result of 496.</p>
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<p><strong>Step 10:</strong>Now the quotient is 35.2.</p>
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<p><strong>Step 10:</strong>Now the quotient is 35.2.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get the desired decimal places.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get the desired decimal places.</p>
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<p>So the square root of √1244 is approximately 35.257.</p>
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<p>So the square root of √1244 is approximately 35.257.</p>
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