Anonymous

# What is geometric mean?

What is the product of the geometric mean of 2 and 32 and the geometric mean of 1 and 4?

### 3 Answers

Relevance

- FredLv 79 years agoFavorite Answer
The geometric mean of n numbers,

a[1], ..., a[n],

is the n-th root of the product of all n of them:

GM(a[1], ..., a[n]) = (∏[j=1,n] a[j])^(1/n)

For n = 2, this is

GM(a, b) = √(ab)

So

GM(2, 32) = √(2*32) = √64 = 8

GM(1, 4) = √(1*4) = √4 = 2

So the product of the two GM's is

8*2 = 16

Still have questions? Get your answers by asking now.