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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 1189, we group it as 89 and 11.</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 1189, we group it as 89 and 11.</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 the leftmost group. For 11, n is 3 because 3 x 3 = 9 which is less than 11. The<a>quotient</a>is 3 and the<a>remainder</a>is 11 - 9 = 2.</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 the leftmost group. For 11, n is 3 because 3 x 3 = 9 which is less than 11. The<a>quotient</a>is 3 and the<a>remainder</a>is 11 - 9 = 2.</p>
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<p><strong>Step 3:</strong>Bring down the next pair 89, making the new<a>dividend</a>289. Add the old<a>divisor</a>with the same number 3 + 3 to get 6 as the new divisor.</p>
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<p><strong>Step 3:</strong>Bring down the next pair 89, making the new<a>dividend</a>289. Add the old<a>divisor</a>with the same number 3 + 3 to get 6 as the new divisor.</p>
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<p><strong>Step 4:</strong>Find n such that 6n x n is less than or equal to 289. Let n be 4, then 64 x 4 = 256.</p>
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<p><strong>Step 4:</strong>Find n such that 6n x n is less than or equal to 289. Let n be 4, then 64 x 4 = 256.</p>
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<p><strong>Step 5:</strong>Subtract 256 from 289; the difference is 33, and the quotient is 34.</p>
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<p><strong>Step 5:</strong>Subtract 256 from 289; the difference is 33, and the quotient is 34.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, add a decimal point to the quotient. Adding the decimal point allows us to bring down two zeroes, making the new dividend 3300.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, add a decimal point to the quotient. Adding the decimal point allows us to bring down two zeroes, making the new dividend 3300.</p>
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<p><strong>Step 7:</strong>Find a new divisor. The divisor is now 34 + 34 = 68. Find n such that 68n x n ≤ 3300. Let n be 4, then 684 x 4 = 2736.</p>
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<p><strong>Step 7:</strong>Find a new divisor. The divisor is now 34 + 34 = 68. Find n such that 68n x n ≤ 3300. Let n be 4, then 684 x 4 = 2736.</p>
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<p><strong>Step 8:</strong>Subtract 2736 from 3300, resulting in 564.</p>
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<p><strong>Step 8:</strong>Subtract 2736 from 3300, resulting in 564.</p>
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<p><strong>Step 9:</strong>Bring down another pair of zeroes, making the dividend 56400.</p>
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<p><strong>Step 9:</strong>Bring down another pair of zeroes, making the dividend 56400.</p>
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<p><strong>Step 10:</strong>Continue this process.</p>
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<p><strong>Step 10:</strong>Continue this process.</p>
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<p>The square root of 1189 is approximately 34.49.</p>
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<p>The square root of 1189 is approximately 34.49.</p>
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