I was helping someone with this problem and I thought you could only simplify it and nothing more. Is it possible to find values of a and b?

$\displaystyle \frac{3}{2\sqrt{5}} = \frac{\sqrt{a}}{b}$

The only way I could think of solving it was equating it as $\displaystyle 3=\sqrt{a}$

and $\displaystyle 2\sqrt{5}=b$ and then solving for a and b.

But that seem highly dubious.

Can anyone tell me if this method is correct?

Thank you in advance.