Simplify fourth root of x^6

$\sqrt[4]{x^{6}}$

Step 1

Factor out $x^{4}$ .

$\sqrt[4]{x^{4} x^{2}}$

Step 2

Pull terms out from under the radical.

$x \sqrt[4]{x^{2}}$

Step 3

Rewrite $\sqrt[4]{x^{2}}$ as $\sqrt{\sqrt{x^{2}}}$ .

$x \sqrt{\sqrt{x^{2}}}$

Step 4

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

$x \sqrt{x}$