Question

Find the greatest number of $3$ digits that is a perfect square.

Answer 1

Find the greatest $3$ - digit number that is a perfect square

We know that the greatest three digit number is $999$.

Here, by using the long division method we find a perfect square,

As, $999$ is not a perfect square. We can find the greatest perfect square by subtracting the remainder from the number itself.

$\therefore$The greatest number of three digits that is a perfect square

$$\begin{gathered} =999-38 \\ =961 \end{gathered}$$

Hence, the greatest number of three digits which is a square is $961$.