Question

Determine the geometric mean of 5 and 8.

Answer 1

\[\frac{ 5 }{ x } = \frac{ x }{ 8 }\]

Answer 2

40=4*10
sqrt40=sqrt(4*10)
sqrt40=sqrt4*sqrt10
sqrt40=2*sqrt10

Answer 3

Cross multiply.
\[x^{2} = 40\]

Where does the 10 come in? Did you divide?

Answer 4

2 sqrt(10)~~6.32456

Answer 5

I see. You eliminated the exponent and then square root 40. Okay, got it. :)