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Math Help - min value

  1. #1
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    Oct 2009
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    min value

    what is the min value of

    (a + b)/(1/a + 1/b)

    i) given a, b are both +ve
    ii) no restriction on a, b
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  2. #2
    Super Member
    Joined
    Dec 2008
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    Scotland
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    Quote Originally Posted by itsmaximhere View Post
    what is the min value of

    (a + b)/(1/a + 1/b)

    i) given a, b are both +ve
    ii) no restriction on a, b

     \frac{a+b}{\frac{1}{a} + \frac{1}{b}} = \frac{a+b}{\frac{a+b}{ab}} =( a+b) \times \frac{ab}{a+b} = ab

    Hope that helps.
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