Algebra Examples

$\sqrt[6]{100 b^{6}}$

Step 1

Reorder $100$ and $b^{6}$ .

$\sqrt[6]{b^{6} \cdot 100}$

Step 2

Pull terms out from under the radical.

$b \sqrt[6]{100}$

Step 3

Rewrite $100$ as $10^{2}$ .

$b \sqrt[6]{10^{2}}$

Step 4

Rewrite $\sqrt[6]{10^{2}}$ as $\sqrt[3]{\sqrt{10^{2}}}$ .

$b \sqrt[3]{\sqrt{10^{2}}}$

Step 5

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

$b \sqrt[3]{10}$