# How do you simplify root3(16x^8)?

Feb 18, 2016

Slight expansion on the method steps

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

#### Explanation:

Given:$\text{ } \sqrt[3]{16 {x}^{8}}$

Expanding this we have:

$\sqrt[3]{{2}^{3} \times 2 \times {x}^{3} \times {x}^{3} \times {x}^{2}}$

$2 \times x \times x \times \sqrt[3]{2 {x}^{2}} \text{ "=" } 2 {x}^{2} \textcolor{w h i t e}{.} \sqrt[3]{2 {x}^{2}}$