# How do you simplify the expression 3sqrt(2x^2y)?

Mar 26, 2016

$3 \sqrt{2 {x}^{2} y} = 3 x \sqrt{2 y}$

#### Explanation:

Just divide the root and then cancel the root with the square through the properties:

$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$

$\sqrt{{a}^{2}} = a$

Solution:

$3 \sqrt{2 {x}^{2} y} = 3 \sqrt{{x}^{2} \cdot 2 y} = 3 \sqrt{{x}^{2}} \sqrt{2 y} =$

$= 3 x \sqrt{2 y}$