how do you find the geometric mean of a pair of numbers and put it in the simplest radical form? (e.g. 3 and 9)

Guest Feb 9, 2015

#3**+5 **

**How do you find the geometric mean of a pair of numbers and put it in the simplest radical form? (e.g. 3 and 9)**

For instance, the geometric mean of two numbers, say 2 and 8,

is just the square root of their product; that is $$\sqrt{2\cdot 8}=4$$.

$$\small{\text{

The geomeric mean of the pair of numbers 3 and 9 is:

$

\sqrt[2]{3*9}= \sqrt[2]{3}* \sqrt[2]{9}= \sqrt[2]{3}* 3

$

}}$$

heureka Feb 10, 2015