Chapter 8.2, Problem 4CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 4CE

The simplified form is ${\left(3\sqrt{11}\right)}^2=9\times 11=99$

Explanation of Solution

Given information: The given expression is ${\left(3\sqrt{11}\right)}^2=\underset{\_}{?.\underset{\_}{?}}$

We have the given expression is ${\left(3\sqrt{11}\right)}^2$

It can be further written as

  $\begin{array}{c}{\left(3\sqrt{11}\right)}^2=\left(3\sqrt{11}\right).\left(3\sqrt{11}\right)\\ =\left(9\right)\sqrt{\left({11}^2\right)}\\ =9\times 11\\ =99\end{array}$

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

Therefore, the simplified form is ${\left(3\sqrt{11}\right)}^2=99$