Question

In the following exercises, simplify and rationalize the denominator.

$\frac{4}{9\sqrt{5}}$

Short answer

The simplified expression can be given as$\frac{4\sqrt{5}}{45}$

Step-by-step solution

Given information

We are given an expression$\frac{4}{9\sqrt{5}}$

Now multiply numerator and denominator by 5

We get,

$$\begin{gathered} \frac{4}{9\sqrt{5}}·\frac{\sqrt{5}}{\sqrt{5}} \\ =\frac{4\sqrt{5}}{45} \end{gathered}$$

Conclusion

The simplified expression can be given as$\frac{4\sqrt{5}}{45}$