Find the greatest number of three digits which is a perfect square.


To do:

We have to find the greatest three digit number which is a perfect square.

Solution:

The greatest $3$ digit number$=999$

Square root of 999 is,


31
3

999

9

61

  99

  61


  38

The remainder is 38.

Therefore, if we subtract 38 from 999 then the new number will be a perfect square.

The required number is  $999-38$

$=961$

Updated on: 10-Oct-2022

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