# 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 ?
Thanks in advance.

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

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 ?
Thanks in advance.
My first thought was "not every root, just every fourth root"!

Seriously, though, you do understand that you are expected to have tried and to show what you have done, don't you?