Question

Find the least number that must be added to 1729 to get a perfect square.

• A. 35
• B. 48
• C. 30
• D. 42

Answer 1

The correct option is A 35

Applying the division method:
$$\begin{array}{cc}& 41\\ 4& 1729\\ & 16\\ 81& 129\\ & 81\\ & 48\end{array}$$

Now, ${42}^2$ = 42 x 42 = 1764

1764 - 1729 = 35

Hence, the perfect square is 35 more than 1729. So, 35 is the least number that must be added to 1729 to get a perfect square.