3

Part of 2001 Balkan MO

Problems(1)

An easy and classical inequality in 3 variables abc<=a+b+c

Source: Balkan MO 2001, problem 3

a

b

c

be positive real numbers with

abc \leq a+b+c

a^2 + b^2 + c^2 \geq \sqrt 3 abc.

Cristinel Mortici, Romania

inequalitiesinequalities proposedalgebra