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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 3200, we need to group it as 00 and 32.</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 3200, we need to group it as 00 and 32.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 32. We can say n as ‘5’ because 5 x 5 is lesser than or equal to 32. Now the<a>quotient</a>is 5 after subtracting 32-25 the<a>remainder</a>is 7.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 32. We can say n as ‘5’ because 5 x 5 is lesser than or equal to 32. Now the<a>quotient</a>is 5 after subtracting 32-25 the<a>remainder</a>is 7.</p>
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<p><strong>Step 3:</strong>Now let us bring down 00, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 5 + 5, and we get 10, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 00, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 5 + 5, and we get 10, 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 10n 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 10n 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 10n × n ≤ 700. Let us consider n as 7, now 107 x 7 = 749.</p>
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<p><strong>Step 5:</strong>The next step is finding 10n × n ≤ 700. Let us consider n as 7, now 107 x 7 = 749.</p>
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<p><strong>Step 6:</strong>Since 749 is greater than 700, we try with n = 6. We get 106 x 6 = 636.</p>
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<p><strong>Step 6:</strong>Since 749 is greater than 700, we try with n = 6. We get 106 x 6 = 636.</p>
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<p><strong>Step 7:</strong>Subtract 700 from 636, and the difference is 64.</p>
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<p><strong>Step 7:</strong>Subtract 700 from 636, and the difference is 64.</p>
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<p><strong>Step 8:</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 6400.</p>
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<p><strong>Step 8:</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 6400.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor that is 113 because 1136 x 6 = 6816.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor that is 113 because 1136 x 6 = 6816.</p>
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<p><strong>Step 10:</strong>Subtracting 6816 from 6400, we get the result 584.</p>
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<p><strong>Step 10:</strong>Subtracting 6816 from 6400, we get the result 584.</p>
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<p><strong>Step 11:</strong>Now the quotient is 56.6.</p>
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<p><strong>Step 11:</strong>Now the quotient is 56.6.</p>
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<p><strong>Step 12:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.</p>
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<p><strong>Step 12:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.</p>
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<p>So the square root of √3200 ≈ 56.568.</p>
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<p>So the square root of √3200 ≈ 56.568.</p>
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