Question

Prove that a^4+b^4+c^2>=2*sqrt(2)*abc, a,b,c are Real Nos.

Answer 1

\[a^4+b^4+c^2 \ge 2\sqrt{2}abc\]

Answer 2

lol I have seen something like this before by cant remember how to do it

it involves perfect sqaure expansions and the triangle inequality I think

Answer 3

WolframAlpha.com makes that claim, however, no proof is offered. Refer to the attachment.