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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 1404, we need to group it as 14 and 04.</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 1404, we need to group it as 14 and 04.</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 14. We can say n is '3' because 3 x 3 = 9, which is less than 14. Now the<a>quotient</a>is 3, and after subtracting 9 from 14, the<a>remainder</a>is 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 14. We can say n is '3' because 3 x 3 = 9, which is less than 14. Now the<a>quotient</a>is 3, and after subtracting 9 from 14, the<a>remainder</a>is 5.</p>
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<p><strong>Step 3:</strong>Bring down 04, making the new<a>dividend</a>504. Add the old<a>divisor</a>with the same number 3 + 3 to get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 04, making the new<a>dividend</a>504. Add the old<a>divisor</a>with the same number 3 + 3 to get 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find n such that 6n × n ≤ 504. Let us consider n as 8. Now, 68 x 8 = 544.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find n such that 6n × n ≤ 504. Let us consider n as 8. Now, 68 x 8 = 544.</p>
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<p><strong>Step 5:</strong>Since 544 is greater than 504, we try n as 7. So, 67 x 7 = 469, which is less than 504.</p>
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<p><strong>Step 5:</strong>Since 544 is greater than 504, we try n as 7. So, 67 x 7 = 469, which is less than 504.</p>
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<p><strong>Step 6:</strong>Subtract 469 from 504. The difference is 35, and the quotient is 37.</p>
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<p><strong>Step 6:</strong>Subtract 469 from 504. The difference is 35, and the quotient is 37.</p>
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<p><strong>Step 7:</strong>Since the remaining 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 3500.</p>
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<p><strong>Step 7:</strong>Since the remaining 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 3500.</p>
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<p><strong>Step 8:</strong>Find the new divisor: 746 x 4 = 2984.</p>
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<p><strong>Step 8:</strong>Find the new divisor: 746 x 4 = 2984.</p>
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<p><strong>Step 9:</strong>Subtracting 2984 from 3500 gives 516.</p>
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<p><strong>Step 9:</strong>Subtracting 2984 from 3500 gives 516.</p>
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<p><strong>Step 10:</strong>The quotient is now 37.4.</p>
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<p><strong>Step 10:</strong>The quotient is now 37.4.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we achieve the desired level of precision.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we achieve the desired level of precision.</p>
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<p>Thus, the square root of √1404 is approximately 37.48.</p>
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<p>Thus, the square root of √1404 is approximately 37.48.</p>
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