Question

a+b>2 radical din a×b

Answer 1

[tex]a+b\ \textgreater \ 2 \sqrt{ab} \\ (a+b)^{2} \ \textgreater \ 2ab \\ a^{2} + b^{2} + 2ab \ \textgreater \ 4ab \\ a^{2} + b^{2} +2ab -4ab \ \textgreater \ 0 \\ a^{2} + b^{2} -2ab \ \textgreater \ 0 \\ (a-b)^{2} \ \textgreater \ 0 [/tex]
adevarat deoarece orice patrat este mai mare sau  egal cu 0