Question

How do you find the geometric mean of 4 and 64?

Answer 1

The mean is `16`. See explanation.

Explanation:

The geometric mean of a set of positive numbers: `x_1,x_2,...,x_n` is calculated as:

`bar(x)=root(n)(x_1xx x_2 xx ... xx x_n)`

Here we have 2 numbers, so the mean is:

`bar(x)=sqrt(4xx64)=sqrt(256)=16`