Trigonometry Examples

$\sqrt[3]{8 x^{4}}$

Step 1

Rewrite $8 x^{4}$ as ${(2 x)}^{3} x$ .

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Step 1.1

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} x^{4}}$

Step 1.2

Factor out $x^{3}$ .

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

Step 1.3

Rewrite $2^{3} x^{3}$ as ${(2 x)}^{3}$ .

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

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

Step 2

Pull terms out from under the radical.

$2 x \sqrt[3]{x}$

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