FORMULABANK

In mathematics, roots refer to finding the factor that, when multiplied a certain number of times, results in the value under the root sign.

It can be written as $\sqrt[n]{a}$, where n is the number of times the same factor must appear in a multiplication to produce the value a. The goal is to find this factor when working with roots.

Formulas

$\sqrt{a·b}=\sqrt{a}·\sqrt{b}$

$\sqrt{a}·\sqrt{b}=\sqrt{a·b}$

$\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$

$\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$