Basic Math Examples

$\sqrt[3]{5 y^{4}} - \sqrt[3]{1 y}$

Step 1

Rewrite $5 y^{4}$ as $y^{3} \cdot (5 y)$ .

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Step 1.1

Factor out $y^{3}$ .

$\sqrt[3]{5 (y^{3} y)} - \sqrt[3]{1 y}$

Step 1.2

Reorder $5$ and $y^{3}$ .

$\sqrt[3]{y^{3} \cdot 5 y} - \sqrt[3]{1 y}$

Step 1.3

Add parentheses.

$\sqrt[3]{y^{3} \cdot (5 y)} - \sqrt[3]{1 y}$

$\sqrt[3]{y^{3} \cdot (5 y)} - \sqrt[3]{1 y}$

Step 2

Pull terms out from under the radical.

$y \sqrt[3]{5 y} - \sqrt[3]{1 y}$

Step 3

Multiply $y$ by $1$ .

$y \sqrt[3]{5 y} - \sqrt[3]{y}$

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