sqrt3(2+sqrt(5) + sqrt3(2-sqrt(5) is equal to 1. Why?

sqrt3(2+sqrt(5) + sqrt3(2-sqrt(5)

$${\sqrt[{{\mathtt{3}}}]{{\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\sqrt[{{\mathtt{3}}}]{{\mathtt{2}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{5}}}}}}}} = {\mathtt{1.535\: \!173\: \!791\: \!362\: \!287\: \!2}}$$

You need to fix the brackets.     

There is not a balanced number of brackets so I do not know what the question is.  

Plug it into the calculator to see what I mean