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Decimal to radical algorithm?

  1. Oct 9, 2007 #1
    decimal to radical algorithm???

    does anyone know if there is a method of writing a decimal number in its simplified radical form?? I really would like to know if there is
  2. jcsd
  3. Oct 10, 2007 #2
    do you mean find a radical that is close to a fraction of whole numbers that would approximate the decimal number?

    E.g. find a & b such that sqrt(a/b) aprox = C where a &b are integers and C is a decimal.

    In that case I don't know. But there exists an algorythm, I have seen it I think on "ask Dr. Math" or something similar.
  4. Oct 11, 2007 #3


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    Put it into continued fraction form. You may be able to recognize a repeating portion. (Actually, in trying this myself, I couldn't recognize anything. I'm not quite sure why. Maybe it just takes a whole lot of digits.)

    http://home.earthlink.net/~mrob/pub/ries/index.html [Broken] is your friend. Try "ries 5.1425631813 -NCS" (where -NCS tells ries not to use the sine or cosine functions).
    Last edited by a moderator: May 3, 2017
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