Chapter 8.1, Problem 16WE

To determine

The geometric mean between the two numbers

Answer to Problem 16WE

Geometric mean is 6.

Explanation of Solution

Given information:

The given two numbers are 2 and 18.

Geometric mean (two numbers) = $\sqrt{a_1\times a_2}$

Here,

  $\begin{array}{l}{a}_1=2\\ a_2=18\end{array}$

  $\begin{array}{c}\text{Mean}=\sqrt{a_1\times a_2}\\ =\sqrt{2\times 18}\\ =\sqrt{36}\\ =6\end{array}$

Since square is positive quantity so neglecting the negative sign.

Therefore, the geometric mean between the two numbers 2 and 18 is 6.