Question

In the following exercises, simplify and rationalize the denominator.

$\frac{10}{\sqrt{11}}$

Short answer

The simplified expression can be given as$\frac{10\sqrt{11}}{11}$

Step-by-step solution

Given information

We are given a expression$\frac{10}{\sqrt{11}}$

Multiply numerator and denominator by 11

We get,

$$\begin{gathered} \frac{10}{\sqrt{11}}·\frac{\sqrt{11}}{\sqrt{11}} \\ =\frac{10\sqrt{11}}{11} \end{gathered}$$

Conclusion

The simplified expression can be given as$\frac{10\sqrt{11}}{11}$