Chapter 11.3, Problem 19WE

To determine

To calculate:

The geometric mean of the following each pair:

  $2,8$

Answer to Problem 19WE

The geometric mean is $4$

Explanation of Solution

Given information:

  $\begin{array}{l}a=2\\ b=8\end{array}$

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:

  $\begin{array}{l}G=\sqrt{2\times 8}\\ G=\sqrt{16}\\ G=4\end{array}$