Question 74086
Find the geometric mean between 2sqrt2 and 6sqrt6.
I don't know how to solve this problem.
----------
If a and b are numbers then x is the geometric mean
if a/x = x/b or x=sqrt(ab)
---------------
So, geo mean = sqrt(2sqrt2*6sqrt6)=sqrt(12sqrt12)
=sqrt(24sqrt3)
=sqrt24)(3^1/4) 
= 2(sqrt6)(3^1/4)
= 2*(3^(1/4)(sqrt6)
=========
Cheers,
Stan H.