Precalculus Examples

$\sqrt[5]{x^{5} y^{10}}$

Step 1

Rewrite $x^{5} y^{10}$ as ${(x y^{2})}^{5}$ .

$\sqrt[5]{{(x y^{2})}^{5}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$x y^{2}$

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