Chapter 8.2, Problem 5CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 5CE

The simplified form is ${\left(\sqrt{5}\right)}^2=5$

Explanation of Solution

Given information: The given expression is ${\left(\sqrt{5}\right)}^2$

We have the given expression is ${\left(\sqrt{5}\right)}^2$

It can be further written as

  $\begin{array}{c}{\left(\sqrt{5}\right)}^2=\left(\sqrt{5}\right)\left(\sqrt{5}\right)\\ =\sqrt{5\times 5}\\ =5\end{array}$

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

Therefore, the simplified form is ${\left(\sqrt{5}\right)}^2=5$