Chapter 8.1, Problem 17WE

To determine

The geometric mean between the two numbers.

Answer to Problem 17WE

Geometric mean is 9

Explanation of Solution

Given information:

The given two numbers are 3 and 27.

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

Here,

  $\begin{array}{l}{a}_1=3\\ a_2=27\end{array}$

  $\begin{array}{c}\text{Mean}=\sqrt{a_1\times a_2}\\ =\sqrt{3\times 27}\\ =\sqrt{81}\\ =9\end{array}$

Since square is positive quantity so neglecting the negative sign.

Therefore, the geometric mean between the two numbers 3 and 27 is 9