Chapter 11.8, Problem 11WE

To determine

To find: The simplification of the given expression.

Answer to Problem 11WE

The simplification of the given expression is $-22\sqrt{2}-14\sqrt{3}$ .

Explanation of Solution

Given information:

The given expression is,

  $-11\sqrt{8}-7\sqrt{12}$

The given expression is simplified as,

  $\begin{array}{c}-11\sqrt{8}-7\sqrt{12}=-11\sqrt{4\times 2}-7\sqrt{4\times 3}\\ =-11\times 2\sqrt{2}-7\times 2\sqrt{3}\\ =-22\sqrt{2}-14\sqrt{3}\end{array}$

Thus, the simplification of the given expression is $-22\sqrt{2}-14\sqrt{3}$ .