Question

what is the geometric mean of 6 and 7

Answer 1

Rule:

\[\Large \text{Geometric mean of x and y} = \sqrt{x*y}\]

Answer 2

The geometric mean of a and b is x, when they are in this proportion:

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

When you solve for x, you get:

\(x = \sqrt{ab} \)