Question

Find the least number that must be added to 3325 so as to get a perfect square. Apply division method.

• A. 39
• B. 93
• C. 41
• D. 23

Answer 1

The correct option is A 39

$\text{Given number: 3325}\text{By grouping the numbers, we get}\overline{33}\overline{25}.$
$$\begin{array}{cc}& 57\\ 5& \overline{33}\overline{25}\\ & 25\\ 107& 825\\ & 749\\ & 76\end{array}$$

$\text{So, 3325 - 76 is a perfect square.}\Rightarrow {57}^2=3325-76\text{Then,}{58}^2=3364$

$\text{The least number that must be added}\text{to 3325 to get a perfect square =}3364-3325=39.$