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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 1322, we need to group it as 22 and 13.</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 1322, we need to group it as 22 and 13.</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 as ‘3’ because 3 x 3 = 9, which is less than 13. Now the<a>quotient</a>is 3, and 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 as ‘3’ because 3 x 3 = 9, which is less than 13. Now the<a>quotient</a>is 3, and after subtracting, 13 - 9, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3</strong>: Bring down the next pair of numbers, which is 22, making the new<a>dividend</a>422. Add the old<a>divisor</a>, 3, with itself, giving us 6, which will be part of our new divisor, 6n.</p>
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<p><strong>Step 3</strong>: Bring down the next pair of numbers, which is 22, making the new<a>dividend</a>422. Add the old<a>divisor</a>, 3, with itself, giving us 6, which will be part of our new divisor, 6n.</p>
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<p><strong>Step 4:</strong>We need to find n such that 6n x n ≤ 422. Let us consider n as 6, then 66 x 6 = 396, which is less than 422.</p>
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<p><strong>Step 4:</strong>We need to find n such that 6n x n ≤ 422. Let us consider n as 6, then 66 x 6 = 396, which is less than 422.</p>
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<p><strong>Step 5:</strong>Subtract 396 from 422, giving a remainder of 26, and the quotient is 36.</p>
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<p><strong>Step 5:</strong>Subtract 396 from 422, giving a remainder of 26, and the quotient is 36.</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 and bring down two zeros. The new dividend is 2600.</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 and bring down two zeros. The new dividend is 2600.</p>
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<p><strong>Step 7:</strong>Find a new digit for the divisor to be used with the new dividend. This digit is 4 because 724 x 4 = 2896, which exceeds 2600. We try 3, giving us 723 x 3 = 2169.</p>
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<p><strong>Step 7:</strong>Find a new digit for the divisor to be used with the new dividend. This digit is 4 because 724 x 4 = 2896, which exceeds 2600. We try 3, giving us 723 x 3 = 2169.</p>
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<p><strong>Step 8:</strong>Subtract 2169 from 2600, yielding 431. The quotient now is 36.3.</p>
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<p><strong>Step 8:</strong>Subtract 2169 from 2600, yielding 431. The quotient now is 36.3.</p>
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<p><strong>Step 9:</strong>Continue these steps by bringing down more pairs of zeros, refining the remainder, and extending the quotient.</p>
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<p><strong>Step 9:</strong>Continue these steps by bringing down more pairs of zeros, refining the remainder, and extending the quotient.</p>
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