The question asks me to find the solution to in polar form.
Which is correct, but there 2 other answers but I can't seem to get it which are
There's also another question I don't understand:
"How many degrees apart are two consecutive roots of "
The point is that adding to the argument of a complex number just goes around the "circle" exactly once so that you are back to exactly the same place and same complex number:
But when you divide the argument by 3 to find cube root, that changes:
Notice, however, that continuing to , , etc. does NOT give us anything new:
so we get exactly 3 distinct third roots.
Show should be able to see that adding any number of multiples of to the argument will always give exactly n distinct nth roots of a complex number.