Question

Question 107

Solve the following question:

Find the least number of four 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.
$\begin{array}{cc}& 32\\ 3& \overline{10}\overline{00}\\ & 9\\ 62& 100\\ & 124\\ & -24\end{array}$
Hence, the least number of four digits which is a perfect square = 1000 + 24 = 1024.