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Math Help - Can anyone help me prove this equation?

  1. #1
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    Can anyone help me prove this equation?

    Here's the problem: Sq root(ab) ≤ (a+b)/2

    So I'm stuck here, how do I prove that a and b are positive real numbers? Should I go with a counterexample?
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  2. #2
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    Re: Can anyone help me prove this equation?

    a= -1
    b= -1
    sqrt(ab)=sqrt(1)=1
    (a+b)/2 = (-1-1)/2 = -1
    sqrt(ab)>(a+b)/2
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  3. #3
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    Re: Can anyone help me prove this equation?

    Quote Originally Posted by bxuan View Post
    Here's the problem: Sq root(ab) ≤ (a+b)/2
    prove that a and b are positive real numbers?
    It is true (p-q)^2\ge 0 so p^2+q^2\ge 2pq.

    If a>~\&~b>0 then let p=\sqrt{a}~\&~q=\sqrt{b}.
    Thanks from topsquark
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