# How do you simplify root5(32x^5)?

Aug 15, 2016

2x

#### Explanation:

its the same as ${\left({2}^{5} {x}^{5}\right)}^{\frac{1}{5}} = 2 x$

Aug 15, 2016

$2 x$

#### Explanation:

Write 32 as the product of its prime factors..

$\sqrt[5]{2 \times 2 \times 2 \times 2 \times 2 \times {x}^{5}}$

=$\sqrt[5]{{2}^{5} {x}^{5}} \text{ divide the index by the root}$

=$2 x$