Simplify Decimal to Radical Decimal to Radical Algorithm

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A method for converting decimal numbers into simplified radical form is sought, specifically to find integers a and b such that the square root of a/b approximates a given decimal C. While no straightforward algorithm was provided, it was suggested that continued fraction forms might help identify a repeating portion for approximation. A resource was mentioned, specifically a link to a site that offers tools for this conversion. The discussion highlights the complexity of recognizing patterns in longer decimal sequences. Overall, the conversion from decimal to radical remains a challenging task without a clear method.
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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
 
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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.
 
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 is your friend. Try "ries 5.1425631813 -NCS" (where -NCS tells ries not to use the sine or cosine functions).
 
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