Let's take the inside first and rationalize the denominator. (note that the outer square root still exists, it's just more convenient this way).

$$\frac{ \sqrt{5} (\frac{5}{\sqrt{80}} + \frac{ \sqrt{845}}{9} + \sqrt{45})}{\sqrt{5} \cdot \sqrt{5}}$$.

Simplifying the fraction gives

$$\frac{\frac{5 \sqrt{5}}{\sqrt{80}} + \frac{65}{9} + 15}{5}$$

Simplifying the fraction further gives

$$\frac{\frac{5}{4} + \frac{65}{9} + 15}{5}$$

Doing some basic operations (adding and dividing) gives us

$$ \frac{169}{36} $$

Finally, we finish by applying the outer square root. This gives us

$$ \sqrt{\frac{169}{36}} = \boxed{\frac{13}{6}} $$,

**which is our final answer**. The $\LaTeX$ on that one was tough!