Algebra Examples

$\sqrt[4]{\sqrt{z^{5}}}$

Step 1

Rewrite $z^{5}$ as ${(z^{2})}^{2} z$ .

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Step 1.1

Factor out $z^{4}$ .

$\sqrt[4]{\sqrt{z^{4} z}}$

Step 1.2

Rewrite $z^{4}$ as ${(z^{2})}^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

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

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