Chapter 8.1, Problem 13CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 13CE

The simplified form is $\sqrt{\frac{5}{2}}=\frac{\sqrt{10}}{2}$

Explanation of Solution

Given information: The given expression is $\sqrt{\frac{5}{2}}$

We have the given expression is $\sqrt{\frac{5}{2}}$

It can be further written as

  $\begin{array}{c}\sqrt{\frac{5}{2}}=\sqrt{\frac{5}{2}\times \frac{2}{2}}\\ =\sqrt{\frac{10}{2^2}}\\ =\frac{\sqrt{10}}{2}\end{array}$

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

Therefore, the simplified form is

  $\sqrt{\frac{5}{2}}=\frac{\sqrt{10}}{2}$