CMR: \(\dfrac{1}{a^2+bc}\) +\(\dfrac{1}{b^2+ac}\) +\(\dfrac{1}{c^2+ab}\)< \(\dfrac{a+b+c}{2abc}\)

Cho a,b,c>0 thỏa mãn: a+b+c=1

CMR:\(\sqrt{a+1}\) +\(\sqrt{b+1}\) +\(\sqrt{c+1}\) <=2\(\sqrt{3}\)

Cho a,b,c và c>0

CMR: \(\sqrt{c\left(a-c\right)}\)/ab +\(\sqrt{c\left(b-c\right)}\)/ab<=1

Cho a+b+c=2p

CMR: (p-a)(p-b)(p-c)<\(\dfrac{1}{8}\)abc

Cho \(\sqrt{x}\)+\(\sqrt{y}\) +\(\sqrt{z}\) =1 (x,y,z>0)

CMR: x+y+z>\(\dfrac{1}{3}\)

you will fail the exam if you don't work hard

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