Simplify 30 root of 32a^20b^15c^25

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

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

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

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

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

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

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