# Math Help - Geometric Mean

1. ## Geometric Mean

Find the geometric mean between
[Math]\frac{2\sqrt{2}}{6}[/tex]* [Math]\frac{5\sqrt{2}}{6}[/tex]

so we multiply the numbers together then take the sqrt of that number.

I get [Math]\frac{9\sqrt{5}}{18}[/tex]
I am told the answer is [Math]\frac{\sqrt{5}}{3}[/tex]

Thanks if anyone looked found error, feel dumb know Thank you

2. Originally Posted by algebraisabeast
Find the geometric mean between
[Math]\frac{2\sqrt{2}}{6}[/tex] [Math]\frac{5\sqrt{2}}{6}[/tex]
The "geometric mean" of two numbers, a and b, is $\sqrt{ab}$
so the geometric mean between $\frac{2\sqrt{2}}{6}$ and $\frac{5\sqrt{2}}{6}$ is $\sqrt{\frac{2\sqrt{2}}{6}\frac{5\sqrt{2}}{6}}= \frac{\sqrt{20}}{6}= \frac{2\sqrt{5}}{6}$