Algebra Examples

$\sqrt[15]{8 m^{3} f^{9}}$

Step 1

Rewrite $8 m^{3} f^{9}$ as ${(2 m f^{3})}^{3}$ .

$\sqrt[15]{{(2 m f^{3})}^{3}}$

Step 2

Rewrite $\sqrt[15]{{(2 m f^{3})}^{3}}$ as $\sqrt[5]{\sqrt[3]{{(2 m f^{3})}^{3}}}$ .

$\sqrt[5]{\sqrt[3]{{(2 m f^{3})}^{3}}}$

Step 3

Pull terms out from under the radical.

$\sqrt[5]{2 m f^{3}}$