Question

find the least number which must be subtracted from 7581 to obtain a perfect square . find this perfect square and its square.


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Answer 1

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Let's Firstly solve √7581

NOW , We are left with Quotient = 87 & Remainder = 12

So , If we subtract 7581 - 12 = 7569

We can see , √7569 = 87 OR we can say 7569 = 87²

So the least number required is 12

OR ( ANOTHER METHOD )

By finding the square root of ✓7581 ( which is not a perfect square as we know )

We get :- 87.06 ( approximate value )

Nearest Number = 87

87² = 7569

If we find difference , we get 7581 - 7569 = 12

Therefore,  to make it a perfect square , 12 should be subtracted from it.Then it becomes the square of 87

Therefore we reached the Answer

Perfect square is 87² = 7569

Square root of this perfect square = √7569 = + 87 OR - 87