Question

Find the smallest number by which 396 must be multiplied so that the product becomes a perfect square.

• A. 3
• B. 4
• C. 9
• D. 11

Answer 1

The correct option is D

11

By prime factorization, we get
$396=2\times 2\times 3\times 3\times 11=2^2\times 3^2\times 11$
It is clear that in order to get a perfect square, one more 11 is required.
So, the given number should be multiplied by 11 to make the product a perfect square.