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Homework Help: Representing this complex fracture into exponent

  1. Jan 20, 2010 #1
    [tex]\frac{2i}{2+i}[/tex]

    i don know how to separate the complex and imaginary part of this fracture?
     
  2. jcsd
  3. Jan 20, 2010 #2

    Mentallic

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    Homework Helper

    I feel stupid for actually googling fracture in mathematics to try understand this terminology. You mean fraction! :smile:

    What you need to do is use the complex conjugate to rid yourself of the complex number in the denominator of this fraction.

    It basically works like this: given a complex number [itex]a+ib[/itex] then if you multiply this by the complex conjugate [itex]a-ib[/itex] you get [itex](a+ib)(a-ib)=a^2+b^2[/itex] which is a real number.

    Don't forget to multiply the numerator by the complex conjugate also to keep things balanced :wink:
     
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