Algebra Examples

$\sqrt{\sqrt[3]{\sqrt[4]{m^{12}}}}$

Step 1

Rewrite $m^{12}$ as ${(m^{3})}^{4}$ .

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

Step 2

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

$\sqrt{\sqrt[3]{m^{3}}}$

Step 3

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

$\sqrt{m}$