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Homework Help: Simplifying complex square

  1. Apr 7, 2012 #1
    1. The problem statement, all variables and given/known data

    Simplify ([itex]\sqrt{3+4i}[/itex]+[itex]\sqrt{3-4i}[/itex])[itex]^{2}[/itex]



    2. Relevant equations



    3. The attempt at a solution

    well I tried expanding it out but I dont think that is the right approach but I have no other idea to tackle the problem?

    so by expanding I had 6+2([itex]\sqrt{3+4i}[/itex])([itex]\sqrt{3-4i}[/itex])

    But then I didnt know where to go

    please help!!
     
  2. jcsd
  3. Apr 7, 2012 #2
    [tex](\sqrt{3+4i})(\sqrt{3-4i})=\sqrt{(3+4i)(3-4i)}[/tex]

    Now how can you simplify the term in the sqrt? Notice we have a complex number multiplied by it's complex conjugate
     
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