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Original
2026-01-01
Modified
2026-02-28
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<p>The long<a>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 long<a>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 4100, we need to group it as 41 and 00.</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 4100, we need to group it as 41 and 00.</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 41. We can say n is 6 because 6 x 6 = 36, which is less than 41. Now the<a>quotient</a>is 6, after subtracting 36 from 41, the<a>remainder</a>is 5.</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 41. We can say n is 6 because 6 x 6 = 36, which is less than 41. Now the<a>quotient</a>is 6, after subtracting 36 from 41, the<a>remainder</a>is 5.</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 6 + 6 to get 12, 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 6 + 6 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, and 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, and 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 ≤ 500. Let us consider n as 4, now 124 x 4 = 496.</p>
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<p><strong>Step 5:</strong>The next step is finding 12n × n ≤ 500. Let us consider n as 4, now 124 x 4 = 496.</p>
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<p><strong>Step 6:</strong>Subtract 496 from 500, the difference is 4, and the quotient is 64.</p>
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<p><strong>Step 6:</strong>Subtract 496 from 500, the difference is 4, and the quotient is 64.</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 400.</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 400.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 128 because 1283 × 3 = 384.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 128 because 1283 × 3 = 384.</p>
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<p><strong>Step 9:</strong>Subtracting 384 from 400, we get the result 16.</p>
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<p><strong>Step 9:</strong>Subtracting 384 from 400, we get the result 16.</p>
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<p><strong>Step 10:</strong>Now the quotient is 64.03.</p>
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<p><strong>Step 10:</strong>Now the quotient is 64.03.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there is no decimal value, 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 there is no decimal value, continue till the remainder is zero.</p>
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<p>So the square root of √4100 ≈ 64.03.</p>
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<p>So the square root of √4100 ≈ 64.03.</p>
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