SOLUTION: Find all the sixth roots of (12+5i).

Question 421149: Find all the sixth roots of (12+5i).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

==>
Let be the angle in quadrant 1 such that and , or . Then

<==> by de Moivre's Theorem.
This is the principal 6th root. The other roots are given by
, letting n = 1,2,3,4,5.

RELATED QUESTIONS
Find all the sixth roots of... (answered by CharlesG2,JBarnum)

Find all the sixth roots of... (answered by CharlesG2)

(a) Find the sixth roots of 1. (b) Find the fifth roots of... (answered by Boreal,greenestamps)

1)how to Find the complex conjugate of (3+5i)/(1+2i) 2)how to Find all the seventh... (answered by solver91311,robertb)

the square root of 3 over 2 + 3 square roots of one sixth. show all work... (answered by jsmallt9)

two roots of a polynomial equation are 3-5i and square root of 2. a. find two additional (answered by stanbon)

The mean of 5 numbers is 11. When a sixth number is 12. Find the sixth number. (answered by robertb)

the question states given -5i is a root, determine all other roots... (answered by ReadingBoosters)

Find all the roots of... (answered by ikleyn,josgarithmetic)