# How do you simplify  root3(8x^4y^5)?

Jul 16, 2016

$2 x y \textcolor{w h i t e}{.} \sqrt[3]{x {y}^{2}}$

#### Explanation:

Method: look for values you can write as cubed then take them outside the cube root

$8 \to {2}^{2}$
${x}^{4} \to {x}^{3} x$
${y}^{5} \to {y}^{3} {y}^{2}$

Write as:$\text{ } \sqrt[3]{{2}^{3} {x}^{3} x {y}^{3} {y}^{2}}$

Taking the cubed values outside the root

$2 x y \textcolor{w h i t e}{.} \sqrt[3]{x {y}^{2}}$