Search
Ask a question
0

find the geometric mean of 5 and 12

find the geometric mean of 5 and 12

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
4.9 4.9 (382 lesson ratings) (382)
0
The geometric mean of a set of numbers, (a1, a2, ..., an) is defined as the nth root of the product of the numbers, that is:
 
(a1*a2* ... *an)1/n
 
In your problem, we have two numbers, (5, 12), so n = 2.  The geometric mean, then, is:
 
(5*12)1/2  = √60
 
You can simplify the answer a bit.