Question

In the following exercises, simplify and rationalize the denominator.

$\frac{9}{2\sqrt{7}}$

Short answer

The simplified expression can be given as$\frac{9\sqrt{7}}{14}$

Step-by-step solution

Given information

We are given an expression$\frac{9}{2\sqrt{7}}$

Now multiply numerator and denominator by 7

We get,

$$\begin{gathered} \frac{9}{2\sqrt{7}}·\frac{\sqrt{7}}{\sqrt{7}} \\ =\frac{9\sqrt{7}}{14} \end{gathered}$$

Conclusion

The simplified expression can be given as$\frac{9\sqrt{7}}{14}$