Simplify 2x sixth root of x^8

$2 x \sqrt[6]{x^{8}}$

Factor out $x^{6}$ .

$2 x \sqrt[6]{x^{6} x^{2}}$

Pull terms out from under the radical.

$2 x (x \sqrt[6]{x^{2}})$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 (x \cdot x) \sqrt[6]{x^{2}}$

Multiply $x$ by $x$ .

$2 x^{2} \sqrt[6]{x^{2}}$

Rewrite $\sqrt[6]{x^{2}}$ as $\sqrt[3]{\sqrt{x^{2}}}$ .

$2 x^{2} \sqrt[3]{\sqrt{x^{2}}}$

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

$2 x^{2} \sqrt[3]{x}$