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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 square root 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 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 662, we group it as 62 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 662, we group it as 62 and 6.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 6. We can say n as ‘2’ because 2 × 2 is 4, which is<a>less than</a>or equal to 6. Now the<a>quotient</a>is 2, and after subtracting, 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 closest to 6. We can say n as ‘2’ because 2 × 2 is 4, which is<a>less than</a>or equal to 6. Now the<a>quotient</a>is 2, and after subtracting, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Bring down 62, making the new<a>dividend</a>262. Add the old<a>divisor</a>(2) to itself, giving us 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 62, making the new<a>dividend</a>262. Add the old<a>divisor</a>(2) to itself, giving us 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The next step is finding 4n × n ≤ 262. Let us consider n as 6, now 4 × 6 × 6 = 144.</p>
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<p><strong>Step 4:</strong>The next step is finding 4n × n ≤ 262. Let us consider n as 6, now 4 × 6 × 6 = 144.</p>
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<p><strong>Step 5:</strong>Subtract 144 from 262; the difference is 118.</p>
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<p><strong>Step 5:</strong>Subtract 144 from 262; the difference is 118.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>point, allowing us to add two zeroes to the dividend. Now the new dividend is 11800.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>point, allowing us to add two zeroes to the dividend. Now the new dividend is 11800.</p>
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<p><strong>Step 7:</strong>Find the new divisor, which is 45, because 457 × 7 = 3199.</p>
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<p><strong>Step 7:</strong>Find the new divisor, which is 45, because 457 × 7 = 3199.</p>
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<p><strong>Step 8:</strong>Subtracting 3199 from 11800, we get 8601.</p>
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<p><strong>Step 8:</strong>Subtracting 3199 from 11800, we get 8601.</p>
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<p><strong>Step 9:</strong>Now the quotient is 25.7.</p>
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<p><strong>Step 9:</strong>Now the quotient is 25.7.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue until the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue until the remainder is zero.</p>
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<p>So the square root of √662 is approximately 25.73.</p>
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<p>So the square root of √662 is approximately 25.73.</p>
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