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Find the greatest five-digit number, which is a perfect square.
Given :
The given statement is 'the greatest five-digit number which is a perfect square'.
To do :
We have to find such a number.
Solution :
The greatest 5 digit number is 99999.
To find the largest 5 digit number which is a perfect square, first, we have to find out the smallest number which should be subtracted from this number to obtain a perfect square.
For this, we apply the method of finding the square root of 99999 by division method.
3 3 | 99999 9 |
61 1 | 99 61 |
626 6 | 3899 3756 |
143 |
The remainder is 143.
Therefore, if we subtract 143 from 99999 then the new number will be a perfect square.
The required number is $99999 - 143 = 99856$.
Therefore, the greatest five-digit perfect square number is 99856.
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