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Original
2026-01-01
Modified
2026-02-28
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<p>The long<a>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 long<a>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 547, we need to group it as 47 and 5.</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 547, we need to group it as 47 and 5.</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 5. We can say n as ‘2’ because 2 × 2 = 4, which is less than or equal to 5. Now the<a>quotient</a>is 2, and after subtracting 5 - 4, 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 5. We can say n as ‘2’ because 2 × 2 = 4, which is less than or equal to 5. Now the<a>quotient</a>is 2, and after subtracting 5 - 4, the<a>remainder</a>is 1.</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 to 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 to get 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>Now we get 4n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 4:</strong>Now we get 4n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 147. Let us consider n as 3; now 43 × 3 = 129.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 147. Let us consider n as 3; now 43 × 3 = 129.</p>
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<p><strong>Step 6:</strong>Subtracting 147 from 129, the difference is 18, and the quotient is 23.</p>
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<p><strong>Step 6:</strong>Subtracting 147 from 129, the difference is 18, and the quotient is 23.</p>
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<p><strong>Step 7:</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 zeroes to the dividend. Now the new dividend is 1800.</p>
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<p><strong>Step 7:</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 zeroes to the dividend. Now the new dividend is 1800.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 46 because 463 × 3 = 1389.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 46 because 463 × 3 = 1389.</p>
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<p><strong>Step 9:</strong>Subtracting 1389 from 1800, we get the result 411.</p>
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<p><strong>Step 9:</strong>Subtracting 1389 from 1800, we get the result 411.</p>
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<p><strong>Step 10:</strong>Now the quotient is 23.3.</p>
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<p><strong>Step 10:</strong>Now the quotient is 23.3.</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 till the remainder is zero. So the square root of √547 ≈ 23.384.</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 till the remainder is zero. So the square root of √547 ≈ 23.384.</p>
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