Which of the following is true about the expression square root of 3 times the square root of 12?

Step-by-step explanation:

The expression "square root of 3 times the square root of 12" is written symbolically as:

3√12

Remembering that 12 = 4·3, and that 4 is a perfect square and 3 is not, we get:

3√4·√3, or

3(2)·√3, or

6·√3.

This is the product of a rational number (6) and an irrational one (√3).  This product is irrational.