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