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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 4025, we need to group it as 25 and 40.</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 4025, we need to group it as 25 and 40.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 40. We can say n as ‘6’ because 6 x 6 = 36, which is lesser than or equal to 40. Now the<a>quotient</a>is 6, after subtracting 40 - 36, 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 40. We can say n as ‘6’ because 6 x 6 = 36, which is lesser than or equal to 40. Now the<a>quotient</a>is 6, after subtracting 40 - 36, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, which makes the new<a>dividend</a>425. Add the old<a>divisor</a>(6) with itself to get 12, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, which makes the new<a>dividend</a>425. Add the old<a>divisor</a>(6) with itself to get 12, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 12n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 12n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 12n × n ≤ 425. Let us consider n as 3, now 123 x 3 = 369.</p>
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<p><strong>Step 5:</strong>The next step is finding 12n × n ≤ 425. Let us consider n as 3, now 123 x 3 = 369.</p>
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<p><strong>Step 6:</strong>Subtract 425 from 369; the difference is 56, and the quotient is 63.</p>
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<p><strong>Step 6:</strong>Subtract 425 from 369; the difference is 56, and the quotient is 63.</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 5600.</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 5600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 634 because 6344 x 4 = 25376.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 634 because 6344 x 4 = 25376.</p>
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<p><strong>Step 9:</strong>Subtracting 25376 from 56000, we get the result 30624.</p>
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<p><strong>Step 9:</strong>Subtracting 25376 from 56000, we get the result 30624.</p>
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<p><strong>Step 10:</strong>Now the quotient is 63.4.</p>
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<p><strong>Step 10:</strong>Now the quotient is 63.4.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose 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. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √4025 is approximately 63.47.</p>
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<p>So the square root of √4025 is approximately 63.47.</p>
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