Question

In the following exercises, simplify and rationalize the denominator.

$\frac{10}{\sqrt{6}}$

Short answer

The simplified expression can be given as$\frac{5\sqrt{6}}{3}$

Step-by-step solution

Given information

We are given a expression$\frac{10}{\sqrt{6}}$

Multiply numerator and denominator by 6

We get,

$$\begin{gathered} \frac{10}{\sqrt{6}}·\frac{\sqrt{6}}{\sqrt{6}} \\ =\frac{10\sqrt{6}}{6} \\ =\frac{5\sqrt{6}}{3} \end{gathered}$$

Conclusion

The simplified expression can be given as$\frac{5\sqrt{6}}{3}$