Chapter 11.8, Problem 14WE

To determine

To find: The simplification of the given expression.

Answer to Problem 14WE

The simplification of the given expression is $0$ .

Explanation of Solution

Given information:

The given expression is,

  $-4\sqrt{2}+6\sqrt{72}-8\sqrt{32}$

The given expression is simplified as,

  $\begin{array}{c}-4\sqrt{2}+6\sqrt{72}-8\sqrt{32}=-4\sqrt{2}+6\sqrt{36\times 2}-8\sqrt{16\times 2}\\ =-4\sqrt{2}+36\sqrt{2}-32\sqrt{2}\\ =\sqrt{2}\left(-4+36-32\right)\\ =0\end{array}$

Thus, the simplification of the given expression is $0$ .