MathDB

A6

Part of 2018-IMOC

Problems(1)

nhocnhoc139

Source: Nonhomogeous ;)

10/11/2009
Given a,b,c>0 a, b, c > 0. Prove that: (1\plus{}a\plus{}b\plus{}c)(1\plus{}ab\plus{}bc\plus{}ca) \ge 4\sqrt{2}\sqrt{(a\plus{}bc)(b\plus{}ca)(c\plus{}ab)} :)
inequalitiesinequalities proposed