Question

The geometric mean of 8 and 2 is 4.
True or False

Answer 1

hint:
geometric mean of x1 and x2 is equal to \(\sqrt{x1\times x2}\)
So you can verify what the geometric mean of 2 and 8 should be.

Answer 2

x is the geometric mean of a and b if a is to x as x is to b, or

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

Then when you take the cross products and set them equal, you get:

\(x^2 = ab\)

Solving for x, you get:

\(x = \sqrt{ab} \)

Answer 3

In your problem, use 8 and 2 as a and b, and solve for x.

Answer 4

True?

Answer 5

yes