Finding nth Roots of a Complex Number

How to find nth Roots of a Complex Number. This is a topic usually covered in precalculus when working with the trigonometric form of a complex number.

0:05 Formula for Finding the nth Root of a Complex Number
0:55 Example 1 Finding the Cube Roots of a Complex Number in Trigonometric Form
2:43 How to switch back to the Standard Form of a Complex Number

Related Videos:

DeMoiver's Theorem Complex Number to a Power

Multiplying and Dividing Complex Numbers

Trigonometric Form of a Complex Number

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

[pheasant]

2 minutes of explanation. Better than my Math teacher's 20 minute explanation.

[fabs]

i like how quick this is it’s good to review before finals

[MariosMathTutoring]

That's great to hear Bobby! Glad it helped you!

[frogteeth]

I’ve already cried 5 times today for not understanding this, so thank you for making me understand

[besisis]

Thank you for teaching in under 3 minutes what my teacher struggled to teach in 30 minutes! I hope you have a great day!

[jojough]

This really helped me out. It was better than my math teacher's one HOUR explanation of the same subject.

[shfqirfn]

I rarely commend on youtube but your videos help me a lot in understanding mathematics. All the way from this topic to permutation and lots of other topics. Keep on posting and I wish you nothing but ease in whatever you're going to pursue in life. Thank you again sir.

[AlexanderHernandez-mhyg]

made precalc SO MUCH EASIER. I was stuck on a similar problem for ages and this made it so simple

[naodtesfalem]

short and clear! could not be any better

[SuperBobbilicious]

thanks a lot helped me compute this for my hwk on webassign :)

[NPC-]

Thank you so much for teaching this. My teacher taught something way different that made no sense

[katietalbot]

Hi Mario, Your videos are incredibly helpful. What would make it even better would be if you explained by you multiplied by 2 pi k. Thanks for the videos.

[AndrewAnudangi]

Thanks so much Mario, you really helping me so much interms of your explanations it is much easier for mi to understand how to solve rooths of complex numbers.

[zahidhasan]

This helped a lot; and was pretty quick!

[matthewa]

Thank you very much!! This is great!! I was searching this topic because "Complex Variables DeMystified" does a surprisingly horrible job at explaining this particular topic in Ch 1. Lol, more like ReMystified, for those who actually want to reinvent the wheel 😭

[irfanmohammad]

Can u explain in details why multiply by k? 😅

[naomiflowers]

thank you so much! i'm studying the day of and this really helped

[cosmicthespider]

What does this describe? Are these solutions then roots to this complex number? I know it may be a dumb question but the process of finding them is simple, however there is still a nagging feeling in my brain to understand what the results are saying.

[kartikbhawsar]

Tell me what is the square root of - 8i

[ishika]

You told how to apply this fomula to find the nth root of complex number..but i want the derivation of this formula...how this formula came!!!