Question

What least number must be added to $6072$ to make it a perfect square?

• A. $6$
• B. $10$
• C. $12$
• D. $16$

Answer 1

Answer: (C)

Lets try find the square root of $6072$ by long division method.

From the long division method, $\sqrt{6072}$ is more than $76$.

$\Rightarrow {76}^2<6072<{78}^2$

${78}^2=6084$
Then the required number

$={78}^2-6072$

$=6084-6072$

$=12$
Therefore, $12$ is added to $6072$ to make it a perfect square.

Hence, Option C is correct.