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Original
2026-01-01
Modified
2026-02-28
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<p>This method is used for obtaining the square root for non-<a>perfect squares</a>, mainly. It usually involves the division of the<a>dividend</a>by the<a>divisor</a>, getting a<a>quotient</a>and a<a>remainder</a>too sometimes.</p>
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<p>This method is used for obtaining the square root for non-<a>perfect squares</a>, mainly. It usually involves the division of the<a>dividend</a>by the<a>divisor</a>, getting a<a>quotient</a>and a<a>remainder</a>too sometimes.</p>
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<p>Follow the steps to calculate the square root of 20:</p>
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<p>Follow the steps to calculate the square root of 20:</p>
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<p><strong>Step 1:</strong>Write the number 20, and draw a bar above the pair of digits from right to left.</p>
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<p><strong>Step 1:</strong>Write the number 20, and draw a bar above the pair of digits from right to left.</p>
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<p><strong>Step 2:</strong>Now, find the greatest number whose square is<a>less than</a>or equal to. Here, it is</p>
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<p><strong>Step 2:</strong>Now, find the greatest number whose square is<a>less than</a>or equal to. Here, it is</p>
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<p> 4, Because 42=16 < 20</p>
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<p> 4, Because 42=16 < 20</p>
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<p><strong>Step 3:</strong> Now divide 20 by 4 such that we get 4 as quotient and then multiply the divisor with the quotient, we get 16. </p>
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<p><strong>Step 3:</strong> Now divide 20 by 4 such that we get 4 as quotient and then multiply the divisor with the quotient, we get 16. </p>
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<p><strong>Step 4:</strong>Add a<a>decimal</a>point after the quotient 4, and bring down two zeroes and place it beside the difference 4 to make it 400.</p>
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<p><strong>Step 4:</strong>Add a<a>decimal</a>point after the quotient 4, and bring down two zeroes and place it beside the difference 4 to make it 400.</p>
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<p><strong>Step 5:</strong>Add 4 to same divisor, 4. We get 8.</p>
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<p><strong>Step 5:</strong>Add 4 to same divisor, 4. We get 8.</p>
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<p><strong>Step 6:</strong>Now choose a number such that when placed at the end of 8, a 2-digit number will be formed. Multiply that particular number by the resultant number to get a number less than 400. Here, that number is 4. 84×4=336<400.</p>
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<p><strong>Step 6:</strong>Now choose a number such that when placed at the end of 8, a 2-digit number will be formed. Multiply that particular number by the resultant number to get a number less than 400. Here, that number is 4. 84×4=336<400.</p>
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<p><strong>Step 7:</strong>Subtract 400-336=64. Again, bring down two zeroes and make 64 as 6400. Simultaneously add the unit’s place digit of 84, i.e., 4 with 84. We get here, 88. Apply Step 5 again and again until you reach 0. We will show two places of precision here, and so, we are left with the remainder, 1216 (refer to the picture), after some iterations and keeping the division till here, at this point </p>
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<p><strong>Step 7:</strong>Subtract 400-336=64. Again, bring down two zeroes and make 64 as 6400. Simultaneously add the unit’s place digit of 84, i.e., 4 with 84. We get here, 88. Apply Step 5 again and again until you reach 0. We will show two places of precision here, and so, we are left with the remainder, 1216 (refer to the picture), after some iterations and keeping the division till here, at this point </p>
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<p><strong>Step 8 :</strong>The quotient obtained is the square root. In this case, it is<strong>4.472….</strong></p>
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<p><strong>Step 8 :</strong>The quotient obtained is the square root. In this case, it is<strong>4.472….</strong></p>
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