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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 207, we need to group it as 07 and 2.</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 207, we need to group it as 07 and 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 2. We can say n is ‘1’ because 1 x 1 = 1, which is less than or equal to 2. Now the<a>quotient</a>is 1, and after subtracting 1 from 2, 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<a>less than</a>or equal to 2. We can say n is ‘1’ because 1 x 1 = 1, which is less than or equal to 2. Now the<a>quotient</a>is 1, and after subtracting 1 from 2, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Bring down 07, so the new<a>dividend</a>is 107. Add the old<a>divisor</a>with the same number 1 + 1 to get 2, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 07, so the new<a>dividend</a>is 107. Add the old<a>divisor</a>with the same number 1 + 1 to get 2, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 2n. We need to find the value of n such that 2n x n is less than or equal to 107. Let us consider n as 4, now 24 x 4 = 96.</p>
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<p><strong>Step 4:</strong>The new divisor will be 2n. We need to find the value of n such that 2n x n is less than or equal to 107. Let us consider n as 4, now 24 x 4 = 96.</p>
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<p><strong>Step 5:</strong>Subtract 96 from 107, and the difference is 11. The quotient is 14.</p>
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<p><strong>Step 5:</strong>Subtract 96 from 107, and the difference is 11. The quotient is 14.</p>
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<p><strong>Step 6:</strong>Since the dividend is still 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 1100.</p>
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<p><strong>Step 6:</strong>Since the dividend is still 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 1100.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor, which is 287 because 287 x 4 = 1148.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor, which is 287 because 287 x 4 = 1148.</p>
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<p><strong>Step 8:</strong>Subtracting 1148 from 1100 gives -48, but since it is negative, we adjust to get 1100 minus 108 = 992.</p>
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<p><strong>Step 8:</strong>Subtracting 1148 from 1100 gives -48, but since it is negative, we adjust to get 1100 minus 108 = 992.</p>
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<p><strong>Step 9:</strong>Now the quotient is 14.3.</p>
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<p><strong>Step 9:</strong>Now the quotient is 14.3.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point or the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point or the remainder is zero.</p>
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<p>So the approximate square root of √207 is 14.39.</p>
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<p>So the approximate square root of √207 is 14.39.</p>
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