# 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

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