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Homework Help: Complex numbers

  1. Apr 14, 2010 #1
    1. The problem statement, all variables and given/known data

    Let Z and W be complex numbers. If /Z/ and /W/ are rational and /W-Z/ is rational, then
    /(1/Z)-(1/W)/ is rational.

    2. Relevant equations

    3. The attempt at a solution
    How do I represent Z and W as rational complex numbers?
  2. jcsd
  3. Apr 14, 2010 #2


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    z and w are arbitrary complex numbers. Rational numbers can be written in the form a/b, where a and b are integers.

    And it's |z|, not /z/.
  4. Apr 14, 2010 #3


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    It isn't Z and W that are rational, it is their magnitudes |Z| and |W|.
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