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Question Number 144118 by loveineq last updated on 21/Jun/21

Let a,b,c > 0 and a+b+c = 3. Prove that (((√(ab))+1)/( (√(ab))+(√c)))+(((√(bc))+1)/( (√(bc))+(√a)))+(((√(ca))+1)/( (√(ca))+(√b))) ≥ (√a)+(√b)+(√c)

Leta,b,c>0anda+b+c=3.Provethat ab+1ab+c+bc+1bc+a+ca+1ca+b⩾a+b+c

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