Question

Geometric mean help :S


Find the three geometric means between 1/ 2 and 8.

Answer 1

can you show me the steps as well?

Answer 2

As far as I know Geometric mean of A and B: \[\sqrt{A*B}\]

Answer 3

(1/2)(8) => b = 2

Answer 4

im confused on the others..

Answer 5

So 1/2 and 8 are suppose to have 3 geometric means?

Answer 6

yes

Answer 7

I don't think that's possible.. 2 real numbers always have 1 geometric mean.

Answer 8

what about 1,2,4?

Answer 9

\[\sqrt[3]{1 * 2 * 4} = \sqrt[3]{8} = 2\]

Answer 10

The geometric mean is 1,2,4 because
(1/2)(8) = 2 ?

Answer 11

(1/2)(8) is 4 not 2.
radical 4 is 2.
So geometric mean of 1/2 and 8 is 2.

Answer 12

okay so its impossible for these numbers to have three geometric means.

Answer 13

yes