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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 2669, we need to group it as 69 and 26.</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 2669, we need to group it as 69 and 26.</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 26. We can say n is ‘5’ because 5 x 5 = 25 is less than 26. Now the<a>quotient</a>is 5, and after subtracting 25 from 26, 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 26. We can say n is ‘5’ because 5 x 5 = 25 is less than 26. Now the<a>quotient</a>is 5, and after subtracting 25 from 26, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Bring down the next pair, which is 69, making the new<a>dividend</a>169. Add the old<a>divisor</a>with the same number 5 + 5 to get 10, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down the next pair, which is 69, making the new<a>dividend</a>169. Add the old<a>divisor</a>with the same number 5 + 5 to get 10, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>Now find n such that 10n x n ≤ 169. We try n = 1, giving us 101 x 1 = 101.</p>
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<p><strong>Step 4:</strong>Now find n such that 10n x n ≤ 169. We try n = 1, giving us 101 x 1 = 101.</p>
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<p><strong>Step 5:</strong>Subtract 101 from 169, the difference is 68, and the quotient is 51.</p>
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<p><strong>Step 5:</strong>Subtract 101 from 169, the difference is 68, and the quotient is 51.</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 zeroes to the dividend. Now the new dividend is 6800.</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 zeroes to the dividend. Now the new dividend is 6800.</p>
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<p><strong>Step 7:</strong>Now find the new divisor. We try n = 6 as 1036 x 6 = 6216.</p>
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<p><strong>Step 7:</strong>Now find the new divisor. We try n = 6 as 1036 x 6 = 6216.</p>
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<p><strong>Step 8:</strong>Subtracting 6216 from 6800, we get 584.</p>
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<p><strong>Step 8:</strong>Subtracting 6216 from 6800, we get 584.</p>
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<p><strong>Step 9:</strong>Now the quotient is 51.6.</p>
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<p><strong>Step 9:</strong>Now the quotient is 51.6.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get a sufficient number of decimal places.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get a sufficient number of decimal places.</p>
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<p>So the square root of √2669 is approximately 51.67.</p>
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<p>So the square root of √2669 is approximately 51.67.</p>
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