Chapter 11.3, Problem 21WE

To determine

To calculate:

The geometric mean of the following each pair:

  $\sqrt{3},3\sqrt{3}$

Answer to Problem 21WE

The geometric mean is $3$

Explanation of Solution

Given information:

  $\begin{array}{l}a=\sqrt{3}\\ b=3\sqrt{3}\end{array}$

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:

  $\begin{array}{l}G=\sqrt{\sqrt{3}\times 3\sqrt{3}}\\ G=\sqrt{9}\\ G=3\end{array}$