Chapter 7, Problem 15AR

To determine

To Simplify: ${(9\sqrt{2})}^2$

Answer to Problem 15AR

  $162$

Explanation of Solution

Given information: ${(9\sqrt{2})}^2$

Formula used: ${(a\cdot b)}^n=a^n\cdot b^n$

Calculation:

We have given:

  ${(9\sqrt{2})}^2=9^2{(\sqrt{2})}^2$$\because {(a\cdot b)}^n=a^n\cdot b^n$

  $\begin{array}{l}=81(2)\\ =162\end{array}$

Conclusion:

Therefore, the simplified value of ${(9\sqrt{2})}^2$ is $162.$