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Prove that a rational root of a monic polynomial is an integer. Use this to prove

  1. Apr 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Prove that a rational root of a monic polynomial is an integer. Use this to prove that the [itex]\sqrt{2}[/itex] is irrational.

    2. Relevant equations



    3. The attempt at a solution

    ///

    I am really not sure where to begin?
     
  2. jcsd
  3. Apr 21, 2012 #2

    Office_Shredder

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    Re: Prove that a rational root of a monic polynomial is an integer. Use this to prove

    What about the polynomial x-1/2? It seems like there are some conditions missing from your problem statement. I'm guessing that your polynomial is supposed to have integer coefficients - if you start with the case when the polynomial is a quadratic, once you figure that out it should be clear how to proceed with the general case
     
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