# How do you simplify root3(81x^2)?

May 29, 2017

See a solution process below:

#### Explanation:

We can rewrite this expression as:

$\sqrt[3]{81 {x}^{2}} \implies \sqrt[3]{3 \cdot 3 \cdot 3 \cdot 3 \cdot {x}^{2}} \implies$

$\sqrt[3]{{3}^{3} \cdot 3 {x}^{2}} \implies$

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