How do you simplify $\sqrt[5]{1215}$ $root5(1215)$ ?

Question

3349 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-28T18:54:08

$3 \sqrt[5]{5}$ $3 root5(5)$

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

$\sqrt[5]{1215} = \sqrt[5]{5 \times 3 \times 3 \times 3 \times 3 \times 3}$ $root5(1215) = root5(5xx3xx3xx3xx3xx3)$

Find fifth root where possible:

$\sqrt[5]{3^{5} \times 5} = 3 \sqrt[5]{5}$ $root5(3^5 xx5) = 3 root5(5)$

How do you simplify 5√1215root5(1215)?