Find the largest number of 3 digits which
Question:

Find the largest number of 3 digits which is a perfect square.

Solution:

The largest 3 digit number is 999.

The number whose square is 999 is 31.61.

Thus, the square of any number greater than 31.61 will be a 4 digit number.

Therefore, the square of 31 will be the greatest 3 digit perfect square.

$31^{2}=31 \times 31=961$

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