# How do you simplify 2sqrt12?

$2 \sqrt{12} = 2 \sqrt{2 \times 2 \times 3} = 2 \sqrt{{2}^{2} \times 3}$
$= 2 \sqrt{{2}^{2}} \sqrt{3} = 2 \times 2 \sqrt{3} = 4 \sqrt{3}$
using $\sqrt{a b} = \sqrt{a} \sqrt{b}$ and $\sqrt{{a}^{2}} = a$ (when $a \ge 0$).