Question

In the following exercises, simplify and rationalize the denominator.

$-\frac{8}{3\sqrt{6}}$

Short answer

The simplified expression can be given as$\frac{-4\sqrt{6}}{9}$

Step-by-step solution

Given information

We are given an expression$-\frac{8}{3\sqrt{6}}$

now multiply numerator and denominator by 6

We get,

$$\begin{gathered} -\frac{8}{3\sqrt{6}}·\frac{\sqrt{6}}{\sqrt{6}} \\ =\frac{-8\sqrt{6}}{18} \\ =\frac{-4\sqrt{6}}{9} \end{gathered}$$

Conclusion

The simplified expression can be given as$\frac{-4\sqrt{6}}{9}$