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Homework Help: Prove that the square root of 3 is not rational

  1. Mar 2, 2008 #1
    1. The problem statement, all variables and given/known data
    Show that the square root of 3 is not rational

    2. Relevant equations

    3. The attempt at a solution

    A number is irrational if χ is not ε. Q=p/q: p, q ε z and q is not=0, z=integers

    If p/q: p, q is not ε or q=0, then square 3 is rational. If p=square root of 3 and q is not ε, then the square root of 3 cannot be rational.

    Could someone please tell me if this is correct and if not show me what I need to do?

    Thank you very much
  2. jcsd
  3. Mar 2, 2008 #2
    What is your [tex]\epsilon[/tex]?
    Do you know how to show that [tex]\sqrt{2}[/tex] is irrational?
  4. Mar 2, 2008 #3
    x ε is "x is an element of x" Yes, I do.

    Thank you very much

    Now I know how to do it

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