Basic Math Examples

$\sqrt[4]{9 b^{6}}$

Step 1

Rewrite $9 b^{6}$ as $b^{4} \cdot (9 b^{2})$ .

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Step 1.1

Factor out $b^{4}$ .

$\sqrt[4]{9 (b^{4} b^{2})}$

Step 1.2

Reorder $9$ and $b^{4}$ .

$\sqrt[4]{b^{4} \cdot 9 b^{2}}$

Step 1.3

Add parentheses.

$\sqrt[4]{b^{4} \cdot (9 b^{2})}$

Step 2

Pull terms out from under the radical.

$b \sqrt[4]{9 b^{2}}$

Step 3

Rewrite $9 b^{2}$ as ${(3 b)}^{2}$ .

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

Step 4

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

$b \sqrt{\sqrt{{(3 b)}^{2}}}$

Step 5

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

$b \sqrt{3 b}$