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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 274, we need to group it as 74 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 274, we need to group it as 74 and 2.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 2. We can say n as ‘1’ because 1x1 is<a>less than</a>or equal to 2. Now the<a>quotient</a>is 1; 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 2. We can say n as ‘1’ because 1x1 is<a>less than</a>or equal to 2. Now the<a>quotient</a>is 1; after subtracting 1 from 2, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Now let us bring down 74, which is the new<a>dividend</a>. 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>Now let us bring down 74, which is the new<a>dividend</a>. 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 ≤ 174. Let us consider n as 6, now 26 x 6 = 156.</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 ≤ 174. Let us consider n as 6, now 26 x 6 = 156.</p>
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<p><strong>Step 5:</strong>Subtract 156 from 174; the difference is 18, and the quotient is 16.</p>
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<p><strong>Step 5:</strong>Subtract 156 from 174; the difference is 18, and the quotient is 16.</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 1800.</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 1800.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 9 because 329 x 9 = 2961.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 9 because 329 x 9 = 2961.</p>
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<p><strong>Step 8:</strong>Subtracting 2961 from 1800 is not possible, so we adjust and repeat the process for further precision.</p>
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<p><strong>Step 8:</strong>Subtracting 2961 from 1800 is not possible, so we adjust and repeat the process for further precision.</p>
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<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no more 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 there are no more decimal values; continue till the remainder is zero.</p>
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<p>So the square root of √274 ≈ 16.55</p>
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<p>So the square root of √274 ≈ 16.55</p>
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