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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 1202, we need to group it as 02 and 12.</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 1202, we need to group it as 02 and 12.</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 12. We can say n as ‘3’ because 3 x 3 = 9 is less than 12. Now the<a>quotient</a>is 3, and after subtracting 9 from 12, 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<a>less than</a>or equal to 12. We can say n as ‘3’ because 3 x 3 = 9 is less than 12. Now the<a>quotient</a>is 3, and after subtracting 9 from 12, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now let us bring down 02, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number (3 + 3) to get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 02, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number (3 + 3) to get 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>Now we need to find a digit, say m, such that 6m x m is less than or equal to 302.</p>
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<p><strong>Step 4:</strong>Now we need to find a digit, say m, such that 6m x m is less than or equal to 302.</p>
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<p><strong>Step 5:</strong>Let m be 4, then 64 x 4 = 256.</p>
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<p><strong>Step 5:</strong>Let m be 4, then 64 x 4 = 256.</p>
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<p><strong>Step 6:</strong>Subtract 256 from 302, the difference is 46, and the quotient is 34.</p>
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<p><strong>Step 6:</strong>Subtract 256 from 302, the difference is 46, and the quotient is 34.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 4600.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 4600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 689 because 689 x 6 = 4134.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 689 because 689 x 6 = 4134.</p>
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<p><strong>Step 9:</strong>Subtracting 4134 from 4600, we get the result 466.</p>
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<p><strong>Step 9:</strong>Subtracting 4134 from 4600, we get the result 466.</p>
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<p><strong>Step 10:</strong>Now the quotient is 34.6.</p>
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<p><strong>Step 10:</strong>Now the quotient is 34.6.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. 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. If there are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √1202 is approximately 34.671.</p>
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<p>So the square root of √1202 is approximately 34.671.</p>
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