# Math Help - Calculate every fourth root of: -7-24i

1. ## Calculate every fourth root of: -7-24i

How can I calculate every fourth root of: -7-24i ?

2. Originally Posted by Fujiwara
How can I calculate every fourth root of: -7-24i ?

Put $z=-7-24i=25e^{i\alpha+2k\pi}\,,\,\,k=0,1,2,3\,,\,\,\alp ha=\arctan\frac{24}{7}$ in the third quadrant (as both the real

and imaginary parts of z are negative). Now do the maths

Tonio

3. Originally Posted by Fujiwara
How can I calculate every fourth root of: -7-24i ?