# How do you simplify -1/sqrt6?

Feb 4, 2016

$- \frac{1}{6} \sqrt{6}$

#### Explanation:

The simplified form is $a \sqrt{b}$

where a is a rational number.

To simplify here multiply the numerator an denominator by$\sqrt{6}$

$- 1 \frac{\sqrt{6}}{\sqrt{6 \times \sqrt{6}}}$

Note that in general $\sqrt{a} \times \sqrt{a} = a$

$\Rightarrow - \frac{1}{\sqrt{6}} = - \frac{\sqrt{6}}{6} = - \frac{1}{6} \sqrt{6}$