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#1 2007-01-31 10:50:13

mandylee_89
Guest

Geometric Mean

What is the Geometric Mean of 6 and 10?


Example: 3 radical 4

#2 2007-01-31 12:03:35

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Geometric Mean

I'm not sure what your example's about, but the geometric mean of a set of numbers is given by the product of all the numbers taken to the nth root, where there are n numbers.

So, to find the geometric mean of 6 and 10, you first multiply them together (to get 60), then take the square root because there are two numbers. And so the final result is √60 = 2√15.

To find the GM of 3 numbers, you multiply them and take their cube root, for 4 numbers you'd take the 4th root and so on.


Why did the vector cross the road?
It wanted to be normal.

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#3 2007-01-31 12:13:46

mandylee_89
Guest

Re: Geometric Mean

Okay thanks, we just do ours a little differently is all.

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