Gammaths11

cho a,b,c>0 CMR: $\left ( 1+\frac{1}{a} \right )^{4}+\left ( 1+\frac{1}{b} \right )^{4}+\left ( 1+\frac{1}{c} \right )^{4}\geq 3\left ( 1+\frac{3}{2+abc} \right )^{4}$

mọi người tham khảo

cho a,b,c>0:a+b+c=2

tìm MIN A=$\frac{a}{ab+2c}+\frac{b}{bc+2a}+\frac{c}{ac+2b}$

CMR: A=$\sqrt{(x+y)(y+z)(z+x)}.\left ( \frac{\sqrt{y+z}}{x}+\frac{\sqrt{z+x}}{y}+\frac{\sqrt{x+y}}{z} \right )\geq 4\sqrt{2}$

cho a,b,c thực dương thỏa mãn:a+b+c=6

CMR:$\frac{a}{\sqrt{a^{3}+1}}+\frac{b}{\sqrt{b^{3}+1}}+\frac{c}{\sqrt{c^{3}+1}}\geq 2$