Question

Find the least number that must be added to $1456$ to make it a perfect square.

• A. $68$
• B. $69$
• C. $65$
• D. $70$

Answer 1

The correct option is C $65$

First, we will try to find the square root of $1456$ by long division method.

This will be done as follows:


Since the remainder is $12$, this implies ${38}^2$ is less than $1456$, i.e., $1444<1456$, and the next perfect square is
${39}^2=1521$.

Thus, the least number that must be added to $1456$ to make it a perfect square is $1521-1456=65$.