Algebra Examples

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

Step 1

Factor out $x^{6}$ .

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

Step 2

Pull terms out from under the radical.

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

Step 3

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

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

Step 4

Pull terms out from under the radical.

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

Step 5

Reorder factors in $2 x (| x | \sqrt[3]{| x |})$ .

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