Question

In the following exercises, simplify.

$\frac{\sqrt{28}}{\sqrt{63}}$

Short answer

The simplified expression is$\frac{2}{3}$

Step-by-step solution

Given information

We are given a expression$\frac{\sqrt{28}}{\sqrt{63}}$

Rewrite using common square root and remove the common factor

We have,

$$\begin{gathered} \frac{\sqrt{28}}{\sqrt{63}} \\ =\sqrt{\frac{28}{63}} \\ =\sqrt{\frac{4}{9}} \\ =\frac{2}{3} \end{gathered}$$

Conclusion

The simplified expression is$\frac{2}{3}$