Develop an efficient algorithm to find the square root of a positive real number.
The following three iterations (two are the same as Oskar's; the third is different) have a nice relationship:
(x²+N)/(2x)
(x³+3xn)/(3x²+n)
(x^4+6x²n+n²)/(4x³+4xn)
but I'm not telling! ;-)