Trigonometry Examples

$\sqrt[10]{x^{6}}$

Step 1

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$\sqrt[10]{{(x^{3})}^{2}}$

Step 2

Rewrite $\sqrt[10]{{(x^{3})}^{2}}$ as $\sqrt[5]{\sqrt{{(x^{3})}^{2}}}$ .

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

Step 3

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

$\sqrt[5]{x^{3}}$