SP>Hello, thank you for the reference, yes, that talks to me, in other words, some values of Gamma[a/b], Pi^(c/d), Exp[Pi*e/f] and 2^(p/q), a,b,c,d,e,f, p and q integers are well approximated by algebraic numbers, this is the point, this should be explored more isn't ? I am not certain that a table ? a compendium of values like that are all known ? Actualy, considering the simplest possible a,b,c,d,... what is the best example or the most striking evaluation that could exist ? (rwg)> I don't recall anything like these. SP> Also, about a certain algorithm for denesting radicals, is there a solution to this ? this is a very difficult problem, mathematica is quite good for extracting these automatically but it does not solve the problem completely by far. I tried many times to solve this : niet, I do not see how it can be done. best regards, simon plouffe People have claimed knowing how to do this for at least 18 years, yet no one seems to have actually done it. See http://math.stackexchange.com/questions/4680/simplification-of-expressions-c... which is my thinly veiled attempt to reestablish contact with oldtime funster Bill Dubuque, who seems to have been driven into reclusiveness by a crank/troll named Archimedes Plutonium. --rwg