Chapter 8.2, Problem 3CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 3CE

The simplified form is ${\left(\sqrt{3}\right)}^2=\sqrt{3}.\sqrt{3}=3$

Explanation of Solution

Given information: The given expression is ${\left(\sqrt{3}\right)}^2=\sqrt{3}.\underset{\_}{?}$

We have the given expression is ${\left(\sqrt{3}\right)}^2$

It can be further written as

  $\begin{array}{c}{\left(\sqrt{3}\right)}^2=\sqrt{3}.\sqrt{3}\\ =\sqrt{3.3}\\ =\sqrt{{\left(3\right)}^2}\\ =3\end{array}$

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

Therefore, the simplified form is ${\left(\sqrt{3}\right)}^2=\sqrt{3}.\sqrt{3}=3$