Prove-that-2a-a-b-2b-b-c-2c-c-a-3-where-a-b-c-be-positive-real-numbers-

Question Number 7022 by Master Moon last updated on 06/Aug/16

Prove that \sqrt{\frac{2 a}{a + b}} + \sqrt{\frac{2 b}{b + c}} + \sqrt{\frac{2 c}{c + a}} ⩽ 3

w h e r e a, b, c be positive real numbers