Basic Math Examples

$\sqrt[3]{128 x^{3}}$

Step 1

Rewrite $128 x^{3}$ as ${(4 x)}^{3} \cdot 2$ .

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Step 1.1

Factor $64$ out of $128$ .

$\sqrt[3]{64 (2) x^{3}}$

Step 1.2

Rewrite $64$ as $4^{3}$ .

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

Step 1.3

Move $2$ .

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

Step 1.4

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

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

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

Step 2

Pull terms out from under the radical.

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

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