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 Title: Approximation of quadratic irrationals and their pierce expansions Paradís, Jaume; Bibiloni, Lluís; Viader, Pelegrí Universitat Pompeu Fabra. Departament d'Economia i Empresa In this article two aims are pursued: on the one hand, to present arapidly converging algorithm for the approximation of square roots; on theother hand and based on the previous algorithm, to find the Pierce expansionsof a certain class of quadratic irrationals as an alternative way to themethod presented in 1984 by J.O. Shallit; we extend the method to findalso the Pierce expansions of quadratic irrationals of the form $2 (p-1)(p - \sqrt{p^2 - 1})$ which are not covered in Shallit's work. 2005-09-15 Statistics, Econometrics and Quantitative Methodsquadratic irrationalspierce series L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Working Paper