Question

How would I solve these questions?
Find complex roots in polar form
1)the fourth roots of 4-4sqrt3i
2)cube roots of -1-i

Answer 1

1) we have formula for this
fourth root of z means \(\sqrt[4]z\) , right?

Answer 2

it is \(z^{1/4}\) , right?

Answer 3

yes i think so

Answer 4

so, if you set \(z= 4-4i\sqrt3\)

Answer 5

your x =4, your y = -4sqrt 3

Answer 6

hence in polar form, you have z =???

Answer 7

sorry im still new to this concept. im a little confused about how we split the equation to find x and y

Answer 8

so, read it first http://www.intmath.com/complex-numbers/4-polar-form.php

Answer 9

click on answer to read how it is going on.

Answer 10

ohh i see thanks for that link