To simplify \( \frac{2\sqrt{65}}{\sqrt{5}} \), you can divide the square roots:
\[ \frac{2\sqrt{65}}{\sqrt{5}} = 2\sqrt{\frac{65}{5}} \]
Next, simplify \( \frac{65}{5} \):
\[ \frac{65}{5} = 13 \]
Now substitute back:
\[ 2\sqrt{\frac{65}{5}} = 2\sqrt{13} \]
Thus, \( \frac{2\sqrt{65}}{\sqrt{5}} = 2\sqrt{13} \).