+118677 Ignore the biggest square root till the end
Simplify each term on the numerator separately like this.
\(\frac{5}{\sqrt{80}}=\frac{5}{\sqrt{16*5}}=\frac{5}{4\sqrt{5}}\)
etc
Now you need to rationalize the denominator so multiply every term, top and bottom by sqrt5
Keep going from there. It all falls out quite nicely.
+118677 OR alternatively ....
rationalize the denominator first by multiplying top and bottom by sqrt5
\(\sqrt{\frac{\frac{5}{\sqrt{80}}*\sqrt5+\frac{\sqrt{845}}{9}*\sqrt{5}+\sqrt{45}*\sqrt5}{\sqrt5*\sqrt5}}\\ \sqrt{\frac{\frac{5}{\sqrt{16}}+\frac{\sqrt{5*169}}{9}*\sqrt{5}+\sqrt{5*9}*\sqrt5}{5}}\\\)
etc
