## Loser66 one year ago is there any shortcut or general form to find roots of a complex number? like: find square root of i. Please, help

1. Loser66

@dan815

2. Loser66

|dw:1441633315208:dw|

3. Loser66

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

4. mathmate

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

5. Loser66

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. :)

6. mathmate

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

7. Loser66

hehehe... sure.

8. mathmate

Thanks! :)