To find the 4 roots of a complex number, the first step is to find the polar form as
z=r(cos x +i sin x) where “x” is the angle in degrees or radians.
Let us try to represent the -32/(1+isqr3) in the polar form. Let us rationalize the denominator (1+isqr3)
Multiplying and dividing the side side of “=” by 2 we get
=>Taking 4th power both sides.
Now we plug n=0,1,2,3 to get 4 roots.
Therefore the four roots of
Thanks for posting the question. Please find the step by step solution. Any queries please let us know.