Question

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

Answer 1

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.

Answer 2

A It represents the product of two irrational numbersand is equivalent to a rational number.

Explanation:

The square root of 3 times the square root of 12 is 6

6 is a rational number
`√(3)` and
`√(12)` are irrational meaning that two Rational numbers are equivalent to a rational number.