Algebra Examples

$\sqrt[6]{\sqrt[3]{b^{11}}}$

Step 1

Rewrite $b^{11}$ as ${(b^{3})}^{3} b^{2}$ .

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Step 1.1

Factor out $b^{9}$ .

$\sqrt[6]{\sqrt[3]{b^{9} b^{2}}}$

Step 1.2

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

$\sqrt[6]{\sqrt[3]{{(b^{3})}^{3} b^{2}}}$

$\sqrt[6]{\sqrt[3]{{(b^{3})}^{3} b^{2}}}$

Step 2

Pull terms out from under the radical.

$\sqrt[6]{b^{3} \sqrt[3]{b^{2}}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$