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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 1125, we need to group it as 11 and 25.</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 1125, we need to group it as 11 and 25.</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 11. We can say n is '3' because 3 x 3 = 9, which is less than 11. Now the<a>quotient</a>is 3, and after subtracting 11 - 9, the<a>remainder</a>is 2.</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 11. We can say n is '3' because 3 x 3 = 9, which is less than 11. Now the<a>quotient</a>is 3, and after subtracting 11 - 9, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, 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 25, 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 60 + n, where n is the new digit in the quotient. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be 60 + n, where n is the new digit in the quotient. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 60n x n ≤ 225. Let us consider n as 3, now 60 x 3 + 3 x 3 = 189.</p>
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<p><strong>Step 5:</strong>The next step is finding 60n x n ≤ 225. Let us consider n as 3, now 60 x 3 + 3 x 3 = 189.</p>
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<p><strong>Step 6:</strong>Subtract 225 from 189, the difference is 36, and the quotient is 33.</p>
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<p><strong>Step 6:</strong>Subtract 225 from 189, the difference is 36, and the quotient is 33.</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 3600.</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 3600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 669 because 669 x 5 = 3345.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 669 because 669 x 5 = 3345.</p>
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<p><strong>Step 9:</strong>Subtracting 3345 from 3600, we get the result 255.</p>
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<p><strong>Step 9:</strong>Subtracting 3345 from 3600, we get the result 255.</p>
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<p><strong>Step 10:</strong>Now the quotient is 33.5.</p>
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<p><strong>Step 10:</strong>Now the quotient is 33.5.</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 is no decimal value, continue till the remainder is zero. So the square root of √1125 is approximately 33.54.</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 is no decimal value, continue till the remainder is zero. So the square root of √1125 is approximately 33.54.</p>
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