Question

What must be added to 14360 so that the number becomes a perfect square?

• A. 40

Answer 1

The correct option is A 40
Long division method is as follows:
$$\begin{array}{cc}& 119\\ 1& \overline{1}\overline{43}\overline{60}\\ & 1\\ 21& 043\\ & 21\\ & 2260\\ 229& 2061\\ & 199\end{array}$$

${119}^2<14360$ [$\because$ Remainder is 199]
The next perfect square is
${120}^2=14400$

$14400-14360=40$

Hence, the least number to be added to 14360 to get a perfect square is 40.