Question

What is the geometric mean of 8 and 12

Answer 1

\[
\sqrt{ 8 (12) } =\sqrt{96}= 4 \sqrt 6
\]

Answer 2

xoxo: I'd strongly recommend that you look up and explain to yourself on paper what "geometric mean" denotes (means). I don't know that myself, so my very first move would have been to look up "geometric mean" on the 'Net.

Answer 3

Multiply the two numbers together and square root the product.

Answer 4

The geometric mean of and b is x if

\(\dfrac{a}{x} = \dfrac{x}{b} \)

Solving for x, you get:

\x^2 = ab\)

\(x = \sqrt{ab} \)