Chapter 8, Problem 5GRFC

To determine

The simplified expression.

Answer to Problem 5GRFC

13

  $\frac{3}{4}$

Explanation of Solution

Given:

The given expression is:

  $\frac{\sqrt{45}}{\sqrt{80}}$

Calculation:

The simplified expression will be:

  $\begin{array}{l}=\frac{\sqrt{45}}{\sqrt{80}}\\ =\frac{\sqrt{3\times 3\times 5}}{\sqrt{2\times 2\times 2\times 2\times 5}}\\ =\frac{3\sqrt{5}}{4\sqrt{5}}\\ =\frac{3}{4}\end{array}$