In this question, we want you to find the cube roots of ? 1? ? 3 i
1.firstly, give the root that has the arg of least magnitude, in exact polar form (or if this leaves you with a choice of two the one of these that has a positive arg).
note. the nth root of a positive real number k is entered using fractional powers: k^(1/n)
recall that polar form means you must enter: r *
for some modulus r and arg ? , where ? satisfies ? ? < ? ? ? .
2.now give another inequivalent root in exact polar form.
3.finally, how many inequivalent cube roots does the given complex number have?