# How do you simplify sqrt( 72a^2b^3)?

Jul 8, 2015

$6 a \cdot b \cdot \sqrt{2 b}$

#### Explanation:

Factorise everything and you have:
$\sqrt{72 \cdot {a}^{2} \cdot {b}^{3}} = \sqrt{{2}^{3} \cdot {3}^{2} \cdot {a}^{2} \cdot {b}^{3}} = \sqrt{{2}^{2} \cdot {3}^{2} \cdot {a}^{2} \cdot {b}^{2} \cdot 2 b}$

Pull the squared terms out of the root sign (root and square operations cancel each other) and you have the answer.