February 02, 2014
What the heck would the square root of z=2+3i be?
The third root?
To find the roots of a complex number z=x+yi,
convert it to z=r(cos θ + isin θ )
and the find MULTIPLE roots are found as follows:
For the n
th
use this formula, n times:
First time:
k=0
Next:
k=1
Keep going to n1
The roots are all the numbers that get back to the original number when you raise them
to n.
11