Find the geometric mean between

[tex]\frac{2\sqrt{2}}{6}[/tex]* [tex]\frac{5\sqrt{2}}{6}[/tex]

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

I get [tex]\frac{9\sqrt{5}}{18}[/tex]

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

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