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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 square root 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 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 1261, we group it as 61 and 12.</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 1261, we group it as 61 and 12.</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 12. We can choose n as 3 because 3 × 3 = 9, which is less than 12. Now the<a>quotient</a>is 3, and after subtracting 9 from 12, the<a>remainder</a>is 3.</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 12. We can choose n as 3 because 3 × 3 = 9, which is less than 12. Now the<a>quotient</a>is 3, and after subtracting 9 from 12, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now let us bring down 61, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 to get 6, which will be part of our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 61, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 to get 6, which will be part of our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n, and we need to find the value of n such that 6n × n ≤ 361. Let us consider n as 5, now 65 × 5 = 325, which is less than 361.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n, and we need to find the value of n such that 6n × n ≤ 361. Let us consider n as 5, now 65 × 5 = 325, which is less than 361.</p>
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<p><strong>Step 5:</strong>Subtract 325 from 361, and the difference is 36.</p>
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<p><strong>Step 5:</strong>Subtract 325 from 361, and the difference is 36.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>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 6:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>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>Now we need to find the new divisor as 70n, where n is determined such that 70n × n ≤ 3600. We find n as 5 because 705 × 5 = 3525. Step 8: Subtracting 3525 from 3600 gives us 75.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor as 70n, where n is determined such that 70n × n ≤ 3600. We find n as 5 because 705 × 5 = 3525. Step 8: Subtracting 3525 from 3600 gives us 75.</p>
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<p><strong>Step 9:</strong>The quotient is 35.5. Step 10: Continue doing these steps until we get two numbers after the decimal point.</p>
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<p><strong>Step 9:</strong>The quotient is 35.5. Step 10: Continue doing these steps until we get two numbers after the decimal point.</p>
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<p>The square root of √1261 is approximately 35.515.</p>
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<p>The square root of √1261 is approximately 35.515.</p>
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