Question

What is the least number that must be added to $594$ to make sum a perfect square?

• A. $13$
• B. $29$
• C. $31$
• D. $33$

Answer 1

Answer: (C)

$31$

First calculate the square-root of $594$

$\sqrt{594}\approx 24.37$

The whole number larger than $24.37$ is $25$

and $(25{)}^2=625$

Now, $625$ is a perfect square.

So, the least number that must be added to $594$ to make sum a perfect square is $=625-594=31$