Let-a-b-c-be-positive-real-numbers-prove-that-a-b-b-c-c-a-3-3-abc-a-b-c-4-

Question Number 194163 by York12 last updated on 29/Jun/23

L e t a, b, c b e p o s i t i v e r e a l n u m b e r s

p r o v e t h a t

\frac{a}{b} + \frac{b}{c} + \frac{c}{a} + \frac{3^{3} \sqrt{a b c}}{a + b + c} ⩾ 4