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!

Homework Help: Countable, uncountable sets

  1. Sep 9, 2010 #1
    1. The problem statement, all variables and given/known data

    A complex number z is said to be algebraic if there are integers
    a0; a1...; an not all zero such that z is a root of the polynomial,
    Prove that the set of all algebraic numbers is countable.

    2. Relevant equations

    3. The attempt at a solution

    For every natural number N there are only finitely many such polynomials

    But how to prove the set is countable
  2. jcsd
  3. Sep 9, 2010 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Finitely many such polynomials that do what?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook