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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 447, we need to group it as 47 and 4.</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 447, we need to group it as 47 and 4.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 4. We can say n as ‘2’ because 2 x 2 = 4 is lesser than or equal to 4. Now the<a>quotient</a>is 2 after subtracting 4-4; the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 4. We can say n as ‘2’ because 2 x 2 = 4 is lesser than or equal to 4. Now the<a>quotient</a>is 2 after subtracting 4-4; the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 47, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 we get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 47, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 we get 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the value of n such that 4n x n ≤ 47. Let us consider n as 1, now 41 x 1 = 41.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the value of n such that 4n x n ≤ 47. Let us consider n as 1, now 41 x 1 = 41.</p>
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<p><strong>Step 5:</strong>Subtract 47 from 41, the difference is 6, and the quotient is 21.</p>
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<p><strong>Step 5:</strong>Subtract 47 from 41, the difference is 6, and the quotient is 21.</p>
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<p><strong>Step 6:</strong>Since the dividend is<a>less than</a>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 600.</p>
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<p><strong>Step 6:</strong>Since the dividend is<a>less than</a>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 600.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor, which is 42 (since the quotient is 21, double it and add 1). So 421 x 1 = 421.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor, which is 42 (since the quotient is 21, double it and add 1). So 421 x 1 = 421.</p>
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<p><strong>Step 8:</strong>Subtracting 421 from 600 we get the result 179.</p>
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<p><strong>Step 8:</strong>Subtracting 421 from 600 we get the result 179.</p>
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<p><strong>Step 9:</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 9:</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 √447 is approximately 21.16.</p>
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<p>So the square root of √447 is approximately 21.16.</p>
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