Algebra Examples

$\sqrt[12]{x^{6}}$

Step 1

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

$\sqrt[12]{{(x^{2})}^{3}}$

Step 2

Rewrite $\sqrt[12]{{(x^{2})}^{3}}$ as $\sqrt[4]{\sqrt[3]{{(x^{2})}^{3}}}$ .

$\sqrt[4]{\sqrt[3]{{(x^{2})}^{3}}}$

Step 3

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

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

Step 4

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

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

Step 5

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

$\sqrt{x}$