# How do you simplify sqrt(6x) divsqrt24?

Sep 22, 2015

Simplification is done by $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ and division.

#### Explanation:

We know that

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

Let $a = 6 x$ and $b = 24$

$\implies \frac{\sqrt{6 x}}{\sqrt{24}} = \sqrt{\frac{6 x}{24}}$

$\implies \frac{\sqrt{6 x}}{\sqrt{24}} = \sqrt{\frac{x}{4}}$

$\implies \frac{\sqrt{6 x}}{\sqrt{24}} = {\left(\frac{x}{4}\right)}^{\frac{1}{2}}$