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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 634, we group it as 34 and 6.</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 634, we group it as 34 and 6.</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 6. We can say n as ‘2’ because 2 x 2 = 4, which is less than 6. Now the<a>quotient</a>is 2, and after subtracting, 6 - 4, the<a>remainder</a>is 2.</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 6. We can say n as ‘2’ because 2 x 2 = 4, which is less than 6. Now the<a>quotient</a>is 2, and after subtracting, 6 - 4, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Bring down 34 to make the new<a>dividend</a>234.</p>
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<p><strong>Step 3:</strong>Bring down 34 to make the new<a>dividend</a>234.</p>
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<p><strong>Step 4:</strong>Add the previous<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>Add the previous<a>divisor</a>with the same number, 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 5:</strong>Find 4n × n ≤ 234. Let us consider n as 5, now 45 x 5 = 225.</p>
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<p><strong>Step 5:</strong>Find 4n × n ≤ 234. Let us consider n as 5, now 45 x 5 = 225.</p>
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<p><strong>Step 6:</strong>Subtract 234 from 225; the remainder is 9, and the quotient is 25.</p>
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<p><strong>Step 6:</strong>Subtract 234 from 225; the remainder is 9, and the quotient is 25.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, add a decimal point and bring down two zeros to make it 900.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, add a decimal point and bring down two zeros to make it 900.</p>
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<p><strong>Step 8:</strong>Find the new divisor; 50 because 501 x 1 = 501.</p>
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<p><strong>Step 8:</strong>Find the new divisor; 50 because 501 x 1 = 501.</p>
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<p><strong>Step 9:</strong>Subtract 501 from 900 to get a remainder of 399.</p>
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<p><strong>Step 9:</strong>Subtract 501 from 900 to get a remainder of 399.</p>
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<p><strong>Step 10:</strong>The quotient is 25.1</p>
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<p><strong>Step 10:</strong>The quotient is 25.1</p>
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<p><strong>Step 11:</strong>Continue these steps until you achieve the desired decimal precision.</p>
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<p><strong>Step 11:</strong>Continue these steps until you achieve the desired decimal precision.</p>
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<p>So the square root of √634 is approximately 25.192</p>
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<p>So the square root of √634 is approximately 25.192</p>
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