Trigonometry Examples

$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

Step 1

Rewrite $\sqrt[n]{\frac{a}{b}}$ as $\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$ .

$\frac{\sqrt[n]{a}}{\sqrt[n]{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

Step 2

Since the two sides have been shown to be equivalent, the equation is an identity.

$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$ is an identity.