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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 1409, we need to group it as 09 and 14.</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 1409, we need to group it as 09 and 14.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 14. We can say n as ‘3’ because 3 x 3 is lesser than or equal to 14. Now the<a>quotient</a>is 3 after subtracting 9 from 14, 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 14. We can say n as ‘3’ because 3 x 3 is lesser than or equal to 14. Now the<a>quotient</a>is 3 after subtracting 9 from 14, the<a>remainder</a>is 5.</p>
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<p><strong>Step 3:</strong>Now let us bring down 09 which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 we get 6 which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 09 which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 we get 6 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 6n 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 6n 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 6n x n ≤ 509 let us consider n as 8, now 6 x 8 x 8 = 384</p>
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<p><strong>Step 5:</strong>The next step is finding 6n x n ≤ 509 let us consider n as 8, now 6 x 8 x 8 = 384</p>
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<p><strong>Step 6:</strong>Subtract 509 from 384 the difference is 125, and the quotient is 38.</p>
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<p><strong>Step 6:</strong>Subtract 509 from 384 the difference is 125, and the quotient is 38.</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 12500.</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 12500.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 759 because 759 x 9 = 6831.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 759 because 759 x 9 = 6831.</p>
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<p><strong>Step 9:</strong>Subtracting 6831 from 12500 we get the result 5669.</p>
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<p><strong>Step 9:</strong>Subtracting 6831 from 12500 we get the result 5669.</p>
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<p><strong>Step 10:</strong>Now the quotient is 37.5.</p>
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<p><strong>Step 10:</strong>Now the quotient is 37.5.</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 √1409 is approximately 37.53.</p>
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<p>So the square root of √1409 is approximately 37.53.</p>
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