Chapter 8.1, Problem 10CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 10CE

The simplified form is $\sqrt{\frac{3}{4}}=\frac{\sqrt{3}}{2}$

Explanation of Solution

Given information: The given expression is $\sqrt{\frac{3}{4}}$

We have the given expression is $\sqrt{\frac{3}{4}}$

It can be further written as

  $\begin{array}{c}\sqrt{\frac{3}{4}}=\sqrt{\frac{3}{2^2}}\\ =\frac{\sqrt{3}}{2}\end{array}$

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

Therefore, the simplified form is $\sqrt{\frac{3}{4}}=\frac{\sqrt{3}}{2}$