Chứng minh với mọi số $a,b,c$ không âm :
   $\frac{1}{\sqrt{a^{2}+bc}}+\frac{1}{\sqrt{b^{2}+ac}}+\frac{1}{\sqrt{c^{2}+ab}} \geq  \frac{6}{a+b+c}$
z..z...z....z.....z......z........z........z..........z –  [_đéo_có_tên_] 22-04-16 01:14 PM
ừ :) thế mk k đăng câu hỏi nữa ... khi nào mấy bạn lm đc thì mk ms đăng tiếp –  Hà Hoa 22-04-16 01:14 PM
ờ....nhưng mà mk vẫn chưa ra zz ..... –  [_đéo_có_tên_] 22-04-16 01:11 PM
cái trước khó hơn :) đây là 1 dạng của loại bài đó –  Hà Hoa 22-04-16 01:09 PM
vậy cái trước có giống cái này không...??? –  [_đéo_có_tên_] 22-04-16 01:04 PM
$VT \ge \frac{9}{\sqrt{a^2+bc}+\sqrt{b^2+ca}+\sqrt{c^2+ab}}$
Vậy ta chỉ cần chứng minh $\sqrt{a^2+bc}+\sqrt{b^2+ca}+\sqrt{c^2+ab} \le \frac 32(a+b+c)$
Bạn xem link sau :
https://www.quora.com/How-do-I-prove-the-inequality-sqrt-a-2-+bc-+-sqrt-b-2-+ac-+-sqrt-c-2-+ba-leq3-given-a+b+c-2-and-a-b-and-c-are-non-negative-real-numbers

cái link kai bị lỗi latex hay sao ý!? –  Confusion 23-04-16 07:38 PM
cái ta chỉ cần cm kia cũng là 1 bài toán khá khó :) –  Hà Hoa 22-04-16 06:02 PM

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