Greatest 5 digit number which is a perfect square

Find the greatest 5 digit number which is a perfect square. find its square root.


The greatest five-digit number is 99999.

To begin, we must determine the smallest number that should be removed from this value in order to obtain a perfect square. This is accomplished through the use of the square root of 99999 by the division method.

143 is the ultimate remainder. Thus, if we remove 143 from 99999, the result is a perfect square. Which has a square root of 316.

As a result, the needed value is 99999-143= 99856.

√99856= 316

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