Simplify 15 root of c^9d^3

$\sqrt[15]{c^{9} d^{3}}$

Step 1

Rewrite $c^{9} d^{3}$ as ${(c^{3} d)}^{3}$ .

$\sqrt[15]{{(c^{3} d)}^{3}}$

Step 2

Rewrite $\sqrt[15]{{(c^{3} d)}^{3}}$ as $\sqrt[5]{\sqrt[3]{{(c^{3} d)}^{3}}}$ .

$\sqrt[5]{\sqrt[3]{{(c^{3} d)}^{3}}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$\sqrt[5]{c^{3} d}$