Question

is there any shortcut or general form to find roots of a complex number?
like: find square root of i.
Please, help

Answer 1

@dan815

Answer 2

the roots are \(\sqrt2/2+ i\sqrt 2/2 ~~and -\sqrt 2/2 -i\sqrt 2/2\)
What is the shortcut of the procedure?

Answer 3

Use De Moivre's theorem. The geometrical interpretation makes the calculations easy.
try:
http://www.mathamazement.com/Lessons/Pre-Calculus/06_Additional-Topics-in-Trigonometry/de-moivres-theorem.html

Answer 4

Thanks for the tip. I know how to find the roots out. Just wonder is there any shortcut but still be flawless to "cut" out the procedure. :)

Answer 5

If you find an easier way, please share with me! xD

Answer 6

hehehe... sure.

Answer 7

Thanks! :)