# How do you simplify root5(1215)?

Dec 28, 2016

$3 \sqrt[5]{5}$

#### Explanation:

Write $1215$ as the product of its prime factors. Then you know what you are working with.

$\sqrt[5]{1215} = \sqrt[5]{5 \times 3 \times 3 \times 3 \times 3 \times 3}$

Find fifth root where possible:

$\sqrt[5]{{3}^{5} \times 5} = 3 \sqrt[5]{5}$