Complex numbers

  • #1

Homework Statement



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.

Homework Equations





The Attempt at a Solution


How do I represent Z and W as rational complex numbers?
 

Answers and Replies

  • #2
Fredrik
Staff Emeritus
Science Advisor
Gold Member
10,872
418
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/.
 
  • #3
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
773
How do I represent Z and W as rational complex numbers?

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

Related Threads on Complex numbers

  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
2
Views
928
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
2
Views
2K
Top