Algebra Examples

$\sqrt[30]{32 a^{20} b^{15} c^{25}}$

Step 1

Rewrite $32 a^{20} b^{15} c^{25}$ as ${(2 a^{4} b^{3} c^{5})}^{5}$ .

$\sqrt[30]{{(2 a^{4} b^{3} c^{5})}^{5}}$

Step 2

Rewrite $\sqrt[30]{{(2 a^{4} b^{3} c^{5})}^{5}}$ as $\sqrt[6]{\sqrt[5]{{(2 a^{4} b^{3} c^{5})}^{5}}}$ .

$\sqrt[6]{\sqrt[5]{{(2 a^{4} b^{3} c^{5})}^{5}}}$

Step 3

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

$\sqrt[6]{2 a^{4} b^{3} c^{5}}$