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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 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 1087, we need to group it as 87 and 10.</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 1087, we need to group it as 87 and 10.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 10. We can say n as ‘3’ because 3^2 = 9 is lesser than or equal to 10. Now the<a>quotient</a>is 3 and after subtracting 10 - 9, the<a>remainder</a>is 1.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 10. We can say n as ‘3’ because 3^2 = 9 is lesser than or equal to 10. Now the<a>quotient</a>is 3 and after subtracting 10 - 9, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Now let us bring down 87 which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 87 which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 = 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 × n ≤ 187. Let us consider n as 3, now 63 × 3 = 189, which is too high, so we try n = 2, now 62 × 2 = 124.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n × n ≤ 187. Let us consider n as 3, now 63 × 3 = 189, which is too high, so we try n = 2, now 62 × 2 = 124.</p>
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<p><strong>Step 6:</strong>Subtract 187 from 124, the difference is 63, and the quotient is 32.</p>
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<p><strong>Step 6:</strong>Subtract 187 from 124, the difference is 63, and the quotient is 32.</p>
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<p><strong>Step 7:</strong>Since the remainder is<a>less than</a>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 6300.</p>
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<p><strong>Step 7:</strong>Since the remainder is<a>less than</a>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 6300.</p>
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<p><strong>Step 8:</strong>Find the new divisor which is 649 because 6490 × 9 = 5841.</p>
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<p><strong>Step 8:</strong>Find the new divisor which is 649 because 6490 × 9 = 5841.</p>
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<p><strong>Step 9:</strong>Subtracting 5841 from 6300, we get the result 459.</p>
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<p><strong>Step 9:</strong>Subtracting 5841 from 6300, we get the result 459.</p>
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<p><strong>Step 10:</strong>Now the quotient is 32.9</p>
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<p><strong>Step 10:</strong>Now the quotient is 32.9</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 until 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 until the remainder is zero.</p>
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<p>So the square root of √1087 ≈ 32.96</p>
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<p>So the square root of √1087 ≈ 32.96</p>
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