[tex]\rm \sqrt{3}\ \textgreater \ 1,7~si~ \sqrt{5} \ \textgreater \ 2,2 \Longrightarrow \sqrt{3} + \sqrt{5}\ \textgreater \ 1,7+2,2=3,9. \\ \\ \sqrt{7}\ \textless \ 2,7 \Longrightarrow \sqrt{7}+1 \ \textless \ 3,7. \\ \\ Observam~ca~\sqrt{3} + \sqrt{5} \ \textgreater \ 3,9 \ \textgreater \ 3,7\ \textgreater \ \sqrt{7} +1. \\ \\ Deci~numarul~mai~mare~este~\boxed{ \sqrt{3} + \sqrt{5}}~.[/tex]
