Let-a-b-c-gt-0-and-a-b-c-3-Prove-that-1-a-2-1-b-2-1-c-2-1-1-abc-3-

Tinku Tara June 3, 2023 Algebra 0 Comments

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Question Number 143139 by loveineq last updated on 10/Jun/21

Let a,b,c > 0 and a+b+c = 3. Prove that (1+a^2 )(1+b^2 )(1+c^2 ) ≤ (1+(1/( (√(abc)))))^3

Let a, b, c > 0 and a + b + c = 3 . Prove that

(1 + a^{2}) (1 + b^{2}) (1 + c^{2}) ⩽ {(1 + \frac{1}{\sqrt{a b c}})}^{3}

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