1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Fredrik

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It isn't Z and W that are rational, it is their magnitudes |Z| and |W|.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Complex numbers
  1. Complex numbers (Replies: 36)

Loading...