what are the real solutions of squareroot of 2 plus2
That is an approximation MG,
$$\sqrt2+2$$ is the real solution it cannot be simplified :)
$${\sqrt{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}} = {\mathtt{3.414\: \!213\: \!562\: \!373\: \!095}}$$