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Contests
National and Regional Contests
Vietnam Contests
VMEO = Vietnam Mathematical E-Olympiad
VMEO II 2005
8
8
Part of
VMEO II 2005
Problems
(1)
Ineq
Source:
1/15/2006
If a,b,c>0, prove that:
1
a
(
a
+
b
)
+
1
b
(
b
+
c
)
+
1
c
(
c
+
a
)
≥
3
2
a
b
c
\frac{1}{a\sqrt{(a+b)}}+\frac{1}{b\sqrt{(b+c)}}+\frac{1}{c\sqrt{(c+a)}} \geq \frac{3}{\sqrt{2abc}}
a
(
a
+
b
)
1
+
b
(
b
+
c
)
1
+
c
(
c
+
a
)
1
≥
2
ab
c
3
thank u for ur help :oops:
inequalities unsolved
inequalities