# How do you simplify 5/ square root of 6?

Jun 20, 2018

$= \frac{5 \sqrt{6}}{6}$ (rationalized denominator)
or
$\approx 2.04$ (decimal form, rounded to nearest hundredth's place)

#### Explanation:

First, let's translate this into math:

$\frac{5}{\sqrt{6}}$

To simplify this, we need to rationalize, or simplify the denominator so that it only contains rational numbers. To do so, multiply both the numerator and denominator by $\textcolor{b l u e}{\sqrt{6}}$:
$\frac{5}{\sqrt{6}} \textcolor{b l u e}{\cdot \frac{\sqrt{6}}{\sqrt{6}}}$

$= \frac{5 \sqrt{6}}{\sqrt{36}}$

$= \frac{5 \sqrt{6}}{6}$

The answer in decimal form (rounded to nearest hundredth's place) is $\approx 2.04$.

Hope this helps!