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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 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 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 724, we need to group it as 24 and 7.</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 724, we need to group it as 24 and 7.</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 7. We can say n as ‘2’ because 2 × 2 is 4, which is lesser than or equal to 7. Now the<a>quotient</a>is 2, and after subtracting 4 from 7, the<a>remainder</a>is 3.</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 7. We can say n as ‘2’ because 2 × 2 is 4, which is lesser than or equal to 7. Now the<a>quotient</a>is 2, and after subtracting 4 from 7, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now let us bring down 24, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 24, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor; we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor; 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 ≤ 324. Let us consider n as 6, now 46 × 6 = 276.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 324. Let us consider n as 6, now 46 × 6 = 276.</p>
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<p><strong>Step 6:</strong>Subtract 276 from 324; the difference is 48, and the quotient is 26.</p>
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<p><strong>Step 6:</strong>Subtract 276 from 324; the difference is 48, and the quotient is 26.</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 4800.</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 4800.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 9, because 539 × 9 = 4851.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 9, because 539 × 9 = 4851.</p>
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<p><strong>Step 9:</strong>Subtracting 4851 from 4800, we get the result -51.</p>
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<p><strong>Step 9:</strong>Subtracting 4851 from 4800, we get the result -51.</p>
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<p><strong>Step 10:</strong>Now the quotient is 26.9.</p>
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<p><strong>Step 10:</strong>Now the quotient is 26.9.</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.</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.</p>
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<p>So the square root of √724 is approximately 26.91.</p>
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<p>So the square root of √724 is approximately 26.91.</p>
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