Question

What must be subtracted from 1713 to get a perfect square?

• A. 34
• B. 32
• C. 42
• D. 44

Answer 1

The correct option is B 32

$\text{Given number: 1713}\text{By grouping the given number, we get}\overline{17}\overline{13}.$

$\text{Applying the long division method:}$
$$\begin{array}{cc}& 41\\ 4& \overline{17}\overline{13}\\ & 16\\ 81& 113\\ & 81\\ & 32\end{array}$$

$\text{Here, the remainder is 32.}$
$\text{Hence, (1713 - 32) will be a perfect square.}$

$\text{So, 32 must be subtracted from 1713}\text{to get a perfect square.}$