We have to rationalize the denominator and then, if we can, simplify.
I have to multiply for 1 but I write it [tex] \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]
So [tex] \frac{2 \sqrt{3} }{3 \sqrt{5} }* \frac{ \sqrt{5} }{ \sqrt{5} } [/tex] = [tex] \frac{2 \sqrt{3} * \sqrt{5} }{3*5}[/tex]
Final result = [tex] \frac{2 \sqrt{15} }{15}[/tex]