Chapter 8.1, Problem 18WE

To determine

The geometric mean between the two numbers.

Answer to Problem 18WE

Geometric mean is 35

Explanation of Solution

Given information:

The given two numbers are 49 and 25.

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

Here,

  $\begin{array}{l}{a}_1=49\\ a_2=25\end{array}$

  $\begin{array}{c}\text{Mean}=\sqrt{a_1\times a_2}\\ =\sqrt{49\times 25}\\ =\sqrt{7^2\times 5^2}\\ =7\times 5\\ =35\end{array}$

Since square is positive quantity so neglecting the negative sign.

Therefore, the geometric mean between the two numbers 49 and 25 is 35