Find the largest number of 3 digits which is a perfect square.
At first,
The largest 3 digit number = 999
Now,
The number whose square is 999 is 31.61 (approx.)
Hence,
The square of any number greater than 31.61 would be a 4-digit number.
Therefore,
The square of 31 will be the greatest 3 digit perfect square.
We can calculate the largest 3 digit perfect square number as:
312 = 31 × 31
= 961