a-b-c-gt-0-amp-a-2-b-2-c-2-3-prove-that-1-3-ab-bc-ca-a-b-c-2-1-3-1-a-b-1-b-c-1-c-a-

Question Number 193314 by York12 last updated on 10/Jun/23

\boldsymbol a, \boldsymbol b, \boldsymbol c > 0 & \boldsymbol a^{2} + \boldsymbol b^{2} + \boldsymbol c^{2} = 3 \boldsymbol p r o v e \boldsymbol t h a t

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

Answered by witcher3 last updated on 11/Jun/23

i will Try it sir

i will Try it sir

Commented by York12 last updated on 12/Jun/23

t h a n k s

t h a n k s

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