# How do you simplify 3sqrt 12 -2 sqrt3?

Jul 5, 2016

=$4 \sqrt{3}$

#### Explanation:

Break 12 down into its prime factors to find any squares.

$3 \sqrt{2 \times 2 \times 3} - 2 \sqrt{3}$

=$3 \times 2 \sqrt{3} - 2 \sqrt{3}$

=$6 \sqrt{3} - 2 \sqrt{3}$

=$4 \sqrt{3}$