Chapter 8.2, Problem 7CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 7CE

The simplified form is ${\left(7\sqrt{2}\right)}^2=98$

Explanation of Solution

Given information: The given expression is ${\left(7\sqrt{2}\right)}^2$

We have the given expression is ${\left(7\sqrt{2}\right)}^2$

It can be further written as

  $\begin{array}{c}{\left(7\sqrt{2}\right)}^2=\left(7\sqrt{2}\right)\left(7\sqrt{2}\right)\\ =49\sqrt{2\times 2}\\ =49\times 2\\ =98\end{array}$

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

Therefore, the simplified form is ${\left(7\sqrt{2}\right)}^2=98$