First we simplify the radicals in the parenthesis.
\(\sqrt{5} = \sqrt{5}\)
\(\sqrt{45} = 3\sqrt{5}\)
\(\sqrt{125} = 5\sqrt{5}\)
\(\sqrt{80}=4\sqrt{5}\)
Since we are adding up the radicals, our new expression is:
\((\sqrt{5} + 3\sqrt{5} +5\sqrt{5}+ 4\sqrt{5})^2\)
Simplifying we get:
\((13\sqrt{5})^2\)
This simplifies to:
845 which is the answer.