Question

Question 108

Solve the following question:

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

Answer 1

Since, the least number of four digits is 1000.
Now, find the square root of 1000 by long division method.
$\begin{array}{cc}& 31\\ 3& \overline{10}\overline{00}\\ & 9\\ 61& 100\\ & 61\\ & 39\end{array}$
Hence, the greatest number of three digits, i.e. a perfect square = 1000 - 39 = 961.