Chapter 11.3, Problem 22WE

To determine

To calculate:

The geometric mean of the following each pair:

  $-18,-36$

Answer to Problem 22WE

The geometric mean is $18\sqrt{2}$

Explanation of Solution

Given information:

  $\begin{array}{l}a=-18\\ b=-36\end{array}$

Formula used:

The geometric mean is given by the following expression:

  $G=\sqrt{ab}$

Calculation:

The geometric mean is given by the following expression:

  $G=\sqrt{ab}$

Now, put the given data:

  $\begin{array}{l}G=\sqrt{-18\times -36}\\ G=18\sqrt{2}\end{array}$