Chapter 8.1, Problem 21WE

To determine

The geometric mean between the two numbers.

Answer to Problem 21WE

Geometric mean is $5\sqrt{55}$

Explanation of Solution

Given information:

The given two numbers are 25 and 55.

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

Here,

  $\begin{array}{l}{a}_1=25\\ a_2=55\end{array}$

  $\begin{array}{c}\text{Mean}=\sqrt{a_1\times a_2}\\ =\sqrt{25\times 55}\\ =\sqrt{5^2\times 55}\\ =5\sqrt{55}\end{array}$

Since square is positive quantity so neglecting the negative sign.

Therefore, the geometric mean between the two numbers 25 and 55 is $5\sqrt{55}$