Simplify 10 root of a^5b^5

$\sqrt[10]{a^{5} b^{5}}$

Step 1

Rewrite $a^{5} b^{5}$ as ${(a b)}^{5}$ .

$\sqrt[10]{{(a b)}^{5}}$

Step 2

Rewrite $\sqrt[10]{{(a b)}^{5}}$ as $\sqrt{\sqrt[5]{{(a b)}^{5}}}$ .

$\sqrt{\sqrt[5]{{(a b)}^{5}}}$

Step 3

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

$\sqrt{a b}$