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2014-07-04T21:08:57+05:30

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The least number that can be subtracted is 7581 - 87² = 12 

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2014-07-04T21:11:48+05:30

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We solve the √7581 it does not completely rooted.We are left with Quotient=87 and Remainder=12.
If we subtract 7581-12 the answer is 7569,also √7569=87 or 7569=(87)².
So the least number required is 12.
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