Math Is Fun Forum

math

Member

Registered: 2005-10-17

Posts: 16

inequality

a,b,c>0 . Prove the inequality :
1/[a.\sqrt{a+b}] + 1/[b.\sqrt{b+c}]+1/[c.\sqrt{c+a}]    >=  3/(\sqrt{2abc}

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: inequality

Another tough one from "math" ... where do you get them?

Is the solution possibly geometric?

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

math

Member

Registered: 2005-10-17

Posts: 16

Re: inequality

the teacher were given me ( can you post the solution )