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Irrational or Rational [Newton-Raphson]

  1. May 19, 2007 #1
    1. The problem statement, all variables and given/known data

    How are you able to determine if a solution is rational or irrational

    2. Relevant equations


    3. The attempt at a solution

    I'm pretty sure it will be something basic i'm forgetting, thanks for any help.
  2. jcsd
  3. May 19, 2007 #2


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    Staff Emeritus
    Science Advisor

    If you mean that you are using the Newton-Raphson method to solve an equation, then there are two oppposite ways to answer: (1) The "solution" the Newton-Raphson method gives you- which may be only approximate is always rational because it can only give you a finite number of decimal places. (2) There is no way of determining from the Newton-Raphson method whether or not the true solution to the equation is rational or irrational because you cannot determine the true solution using the Newton-
    Raphson method.
  4. May 19, 2007 #3
    cheers, never would of thought of that.
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