Rohan wants to multiply 72 by the smallest whole number that makes the product a perfect square. What number should he multiply by?

Explanation

1. 01

   $72 = 2^3 \times 3^2$.

2. 02

   In a perfect square every prime has an even power; $2^3$ needs one more 2.

3. 03

   $72 \times 2 = 144 = 12^2$.