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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 720, we need to group it as 20 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 720, we need to group it as 20 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 x 2 = 4, which is less than 7. Now the<a>quotient</a>is 2, 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 x 2 = 4, which is less than 7. Now the<a>quotient</a>is 2, after subtracting 4 from 7 the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Bring down the next pair, which is 20, making the new<a>dividend</a>320.</p>
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<p><strong>Step 3:</strong>Bring down the next pair, which is 20, making the new<a>dividend</a>320.</p>
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<p><strong>Step 4:</strong>Double the current quotient (2), which gets us 4, our new partial<a>divisor</a>.</p>
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<p><strong>Step 4:</strong>Double the current quotient (2), which gets us 4, our new partial<a>divisor</a>.</p>
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<p><strong>Step 5:</strong>Now we find n such that 4n x n ≤ 320. The correct n is 8, because 48 x 8 = 384, which is more than 320, while 47 x 7 = 329. Thus, n = 7, so 47 x 7 = 329.</p>
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<p><strong>Step 5:</strong>Now we find n such that 4n x n ≤ 320. The correct n is 8, because 48 x 8 = 384, which is more than 320, while 47 x 7 = 329. Thus, n = 7, so 47 x 7 = 329.</p>
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<p><strong>Step 6:</strong>Subtract 320 from 329, the remainder is 9.</p>
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<p><strong>Step 6:</strong>Subtract 320 from 329, the remainder is 9.</p>
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<p><strong>Step 7:</strong>Since the remainder 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, making it 900.</p>
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<p><strong>Step 7:</strong>Since the remainder 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, making it 900.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. Doubling the current quotient (27), we get 54.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. Doubling the current quotient (27), we get 54.</p>
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<p><strong>Step 9:</strong>Find n such that 54n x n ≤ 900. The correct n is 1, because 541 x 1 = 541.</p>
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<p><strong>Step 9:</strong>Find n such that 54n x n ≤ 900. The correct n is 1, because 541 x 1 = 541.</p>
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<p><strong>Step 10:</strong>Subtract 541 from 900, and the remainder is 359.</p>
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<p><strong>Step 10:</strong>Subtract 541 from 900, and the remainder is 359.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point or 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 or the remainder is zero.</p>
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<p>So the square root of √720 ≈ 26.83.</p>
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<p>So the square root of √720 ≈ 26.83.</p>
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