Algebra Examples

$\sqrt[3]{x^{5} y}$ ?

Step 1

Rewrite $x^{5} y$ as $x^{3} (x^{2} y)$ .

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Step 1.1

Factor out $x^{3}$ .

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

Step 1.2

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

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

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