# How do you simplify sqrt(12a^3b^6)?

Nov 3, 2015

$2 a {b}^{3} \sqrt{3 a}$

#### Explanation:

write as $\sqrt{12 \times \left({a}^{2}\right) a \times \left({b}^{2}\right) \left({b}^{2}\right) \left({b}^{2}\right)}$

giving $a {b}^{3} \sqrt{12 a}$

but $12 = 3 \times 4$ giving

$a {b}^{3} \sqrt{3 \times 4 \times a}$

but $\sqrt{4} = 2$ giving

$2 a {b}^{3} \sqrt{3 a}$