Question

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

Answer 1

Geometric mean of a,b is.

\(\Large \color{MidnightBlue}{\Rightarrow \sqrt{ab} }\)

Answer 2

Find the geometric mean, then find the geometric mean of that and 1/2 and then the geometric mean of the original geometric mean and 8.

Answer 3

Find the three geometric means between 1/2 and 8.
Let the means be a, b, c.
=> b^2 = (1/2)(8) => b = 2 (It must be +ve.)
=> a^2 = 1 and c^2 = 16.
=> a = ±1, c = ±4.
=> means are ±1, 2, ±4.

Answer 4

Thank you soo much! I was stuck on this forever.