Question

In the following exercises, simplify and rationalize the denominator.

$\frac{3}{\sqrt{13}}$

Short answer

The simplified expression can be given as$\frac{3\sqrt{13}}{13}$

Step-by-step solution

Given information

We are given an expression$\frac{3}{\sqrt{13}}$

now multiply numerator and denominator by 13

We get,

$$\begin{gathered} \frac{3}{\sqrt{13}}·\frac{\sqrt{13}}{\sqrt{13}} \\ =\frac{3\sqrt{13}}{13} \end{gathered}$$

Conclusion

The simplified expression can be given as$\frac{3\sqrt{13}}{13}$