Question

How do you find the geometric mean between 36 and 24?

Answer 1

`color(green)(12sqrt(6))`

Explanation:

The geometric mean of two numbers is
`color(white)("XX")`The square root of
`color(white)("XXXX")`the product of the two numbers:

Therefore the geometric mean of `36` and `24` is
`color(white)("XXX")sqrt(36xx24)`
`color(white)("XXX")=sqrt(3xx12xx2xx12)`
`color(white)("XXX")=sqrt(12^2xx3xx2)`
`color(white)("XXX")=12sqrt(6)`