and thanks in advance for any hint/help
the moduli of the root i am given is 13^1/2 so the moduli of w is (13^1/2 )^4
what I am having difficulty with is finding the argument of w. the argument of the root i am given is arctan(3/2) = 56,309
and the forumla linking this with the argument of w is 56,309 = (2kpi + arg(w))/4, which is true for a specific value of k out of the possible values of k, i.e. 0,1,2,3.
how can I progres from here. please help.