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2026-01-01
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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 155, we need to group it as 55 and 1.</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 155, we need to group it as 55 and 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 1. We can say n is ‘1’ because 1 x 1 is lesser than or equal to 1. Now the<a>quotient</a>is 1, after subtracting 1 - 1, 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<a>less than</a>or equal to 1. We can say n is ‘1’ because 1 x 1 is lesser than or equal to 1. Now the<a>quotient</a>is 1, after subtracting 1 - 1, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 55, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1; we get 2, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 55, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1; we get 2, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>We need to find a number n such that 2n x n ≤ 55. Let us consider n as 2, now 22 x 2 = 44.</p>
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<p><strong>Step 4:</strong>We need to find a number n such that 2n x n ≤ 55. Let us consider n as 2, now 22 x 2 = 44.</p>
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<p><strong>Step 5:</strong>Subtract 44 from 55; the difference is 11, and the quotient is 12.</p>
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<p><strong>Step 5:</strong>Subtract 44 from 55; the difference is 11, and the quotient is 12.</p>
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<p><strong>Step 6:</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 zeros to the dividend. Now the new dividend is 1100.</p>
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<p><strong>Step 6:</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 zeros 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 249, because 249 x 4 = 996.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor, which is 249, because 249 x 4 = 996.</p>
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<p><strong>Step 8:</strong>Subtracting 996 from 1100, we get the result 104.</p>
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<p><strong>Step 8:</strong>Subtracting 996 from 1100, we get the result 104.</p>
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<p><strong>Step 9:</strong>Now the quotient is 12.4.</p>
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<p><strong>Step 9:</strong>Now the quotient is 12.4.</p>
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<p><strong>Step 10:</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 10:</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 √155 is approximately 12.45.</p>
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<p>So the square root of √155 is approximately 12.45.</p>
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