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Math Help - Complex -calcul

  1. #1
    Super Member dhiab's Avatar
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    Complex -calcul

    Prove that :

    \frac{1}{{\sqrt {3 + 4i} }} + \frac{1}{{\sqrt {3 - 4i} }} = \pm \frac{4}{5}<br />
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by dhiab View Post
    Prove that :

    \frac{1}{{\sqrt {3 + 4i} }} + \frac{1}{{\sqrt {3 - 4i} }} = \pm \frac{4}{5}<br />
    Start by expessing 3 + 4i and 3 - 4i in polar form and then use deMoivres Theorem.
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  3. #3
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    Hello dhiab,
    I agree with mr. fantastic, but here it is another way.
    I hope you will understand!
    Bye!
    Attached Thumbnails Attached Thumbnails Complex -calcul-complex.jpg  
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  4. #4
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    Hello, Lucio!

    Lovely solution!

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