Chapter 8.1, Problem 12WE

To determine

To Simplify: Simplify the given expression

Answer to Problem 12WE

The simplified form is $\sqrt{\frac{9}{5}}=\frac{3}{\sqrt{5}}$

Explanation of Solution

Given information: The given expression is $\sqrt{\frac{9}{5}}$

We have the given expression is $\sqrt{\frac{9}{5}}$

It can be further written as

  $\begin{array}{c}\sqrt{\frac{9}{5}}=\sqrt{\frac{3^2}{5}}\\ =\frac{3}{\sqrt{5}}\end{array}$

Since square root is positive quantity so we neglect negative sign.

Therefore, the simplified form is $\sqrt{\frac{9}{5}}=\frac{3}{\sqrt{5}}$