This is actually the most helpful explanation yet that I've found! Thank you!

I found myself sitting in the college computer room saying " wow " at how easy you made this understand. I had the background knowledge from my notes and lectures, but you've put it together in such a brilliant way. For example I was confused about why K = { 1,2,3...n-1} , i.e. why it stopped at n-1... it's so clear once you spelled it out. I just took it for granted before without really digging into it. Thank you for making this a whole lot clearer.

9 minute video from some kid explains it clearer than 90 minute lecture from a well paid lecturer. It's not great when you only attend lectures to gather information on what you need to learn so you can find better material online to teach you.

Teach my uni class, this was better than 60min spent lectures

My professor's lectures were giving me anxiety because it did not make any sense....this just,..... saved my life. Thank you so much!!!

@turksvids

4 жыл бұрын

Good deal. Happy to help!

Bro you are a GOD, omg i didnt understand my teacher about this topic so i searched on yt for explanation, wish you were my teacher i understood u better even if this isnt my native language!

This is nice and concise. Thank you for the video!

Very good video. Clearly explained the solution. Thanks.

Thank you. That was really clear and helpful

Great explanation. Thank you so much.

You're fast! The only complex root explanation that I found I wanted to playback at < 1x speed. Usually I want to speed it up (like with Khan Academy)

thank you! this was so helpful! i have a horrible professor, cant believe she couldn't explain something this simple

THANK YOUUU SO MUCHHH🥺🥺 This is vid is just extremely helpful

Really needed this , thank you so much

Do you have a playlist on just complex numbers ... I’ve been looking through your profile and can’t find one

@turksvids

5 жыл бұрын

Playlist: kzread.info/head/PL98E8DDDEC4FB2E55 They go with Notes 12 on my website: www.turksmathstuff.com/math-analysis-notes.html Hope this helps!

Great video and explanation. Thank you!

Simple n good explanation!! Thanks.

Hello. Many thanks for getting back to me by email - and within two hours!. Would it be possible to show how you cube the answer (s) and get back to the original equation? I have tried but am doing something wrong. A video on working back from the nth roots would be great

So much grateful..... ive never understood until now

This took a few minutes while i tried for 2 hours using my uni stuff:/ Thank u so much!

Great explanation!!!

Hello, again. I went back over multiplying complex numbers and see where I was going wrong (I was separating the "real" and "imagery" numbers instead of expanding everything out of the brackets. I suppose after about the 4th power then proving the nth root by going back to the original equation will be long winded. At least I know how it works now.

really helpful, thanks a lot

Thank you very clear explanation 🙂👍

Holy shit this video helped out so much. I kept putting I in the square root and it was not going the way I wanted. Thank you so much for like a concise and easy explanation

One question, at 6:53 why do you stop at 2 when writing what k can equal?

@turksvids

2 жыл бұрын

There are 3 third roots and we get them out of the formula when k = 0, k = 1, and k =2. (Because we use k = 0, we stop at 1 less than n during the process.)

Thank You. This helped a lot!

Sir you're a legend!

How did u get theta to be 3pie over4

Hello , I want to ask where did we get 2pi over three in the last circle

@KirisPlace

2 жыл бұрын

Since there are 3 roots, there will be three seperate "lines". They will be equally spaced, so 120 degrees apart from each other. In radiants that 2pi/3.

What if angle is π/6 and z complex number lie in 3rd quad

Can I ask...what software do you use to make your notes? I would really like to use it for my videos. Thank you :)

@turksvids

3 жыл бұрын

Hi! I used an app called Doceri for this video. Here's the site: www.doceri.com/ I like it and it has a few features I haven't really found in other apps.

awesome video. thanks a lot

how is the angle 3pi/2? if you do pi - tan^-1(b/a) I get something different

@turksvids

5 жыл бұрын

I just rewatched and didn't see a 3pi/2 in the video. Are you talking about the 2pi/3? That comes from the fact that I'm finding cube roots, so I divide the circle (2pi) into 3 equal sectors, getting 2pi/3 and then the nth roots are separated (by rotation) by that amount. The part where you'd use pi-arctan(abs(b/a)) is what should give you 3pi/4. If you're getting that angle, you're doing it right for that part! Hope this helps! Is your user name a reference to Malazan Book of the Fallen? Just read the entire series this year. It was pretty great (if a bit long in some spots).

@Vipa567

5 жыл бұрын

@@turksvids I actually meant 3pi/4, I was doing the calculation wrong and using tan instead of inverse tan. And yeah, name is because of the books

That did make tone of sense. Thanks

@aadil4236

5 жыл бұрын

That was supposed to be "ton" , my bad.

Good explanation. Only thing I am confused on is how to check the answer as some teachers add and square the answer and take the square root to get back to "r" but you said cubing would get back to the original

@turksvids

6 жыл бұрын

In the example I did I found the cube roots so to check the answers I would want to cube what I think the cube roots are and see if I get back to the original complex number: a + bi. I think what you're talking about is finding r, which is--the way I do it--the distance from the complex number to the origin (or the absolute value of the complex number)-- and to find that I'd do sqrt(a^2 + b^2) given a + bi.

Please help me calculate this Given that (√3-i) is a square root of the equation Z^9+16(1+i)z^3+a+ib=0 What is the value of a and b?

Should θ in the third quadrant not equal "θ(hat) - π"?

@turksvids

5 жыл бұрын

That's one way to get there, sort of a clockwise approach. I prefer to use t + pi, where t is theta hat. if you think it through you can see that t - pi and t + pi are coterminal and differ by one rotation.

Thanks man....

Where are u from

Very interesting video.

Why is it that you did not get complex conjugates for your roots? I would have expected one root at an angle of zero and the other two at 120 degrees and 240 degrees. Do I have an incorrect assumption about something?

@turksvids

5 жыл бұрын

That will happen when the number you're finding cube roots of is a positive real number because it's angle in polar will be 0 so the angle over 3 is 0, and 360/3 = 120. If the initial complex number isn't on the positive x axis it will have an angle not equal to 0 so the angle over 3 won't give 0 so the cube roots are rotated from the x-axis but still differ by 120 degrees as you rotate between them. Hope this helps!

@IbanezV70CE

5 жыл бұрын

@@turksvids Thank you for clarifying!

congratz man

You explained it very nicly. Thanks

what software do u use to make these videos ?

@turksvids

6 жыл бұрын

Doceri on an iPad. I also use a cheap stylus from amazon. (doceri.com/)

Thanks for your efforts Sir. I will check if you have another videos on more examples.

@turksvids

Жыл бұрын

No problem! I cover this stuff in Notes 12 of my Math Analysis notes. Here's a link to my site: www.turksmathstuff.com/math-analysis-notes.html

Thank you

How the values of k are 0 1 2 at last??

@turksvids

5 жыл бұрын

I'm not exactly sure what you mean, but if you're finding the nth roots, then you let k go from 0 to n-1. So cube roots has n = 3, so k = 0, 1, 2. If you go one more, to k = 3, you end up with an angle that's coterminal to when k = 0, so it's not a new, unique root.

good explaination ......

Good stuff

I have no idea why my professor couldn't explain it straight forward, like this. And my books are written by my professor, so no help there. Lol. Thanks, man!

thank you!!!!

Is 3rd root the same with 3rd principal of a complex number???

@turksvids

4 жыл бұрын

Can you give an example of what you mean? (I don't think I understand the question.)

Thank you so much

can you prove all this law that you are using here ?

@turksvids

6 жыл бұрын

It's an extension of DeMoivre's Theorem: en.wikipedia.org/wiki/De_Moivre%27s_formula

helpful.........................

How did people down vote this

Meanwhile, the khan academy video is a whole hour lol. In 8 minutes you learn more then you do from sal in his long ass video

Which software u are using

@turksvids

4 жыл бұрын

Doceri on an iPad with a stylus. There's also a windows app, I'm pretty sure.

@sameerakhan9399

4 жыл бұрын

@@turksvids how can I install it?

@turksvids

4 жыл бұрын

Same as any other app, really. Here's the link: doceri.com/

Post in 2016 and I just clear in 2019

@coldhands6648

3 жыл бұрын

gotta love how math is timeless ;)

bless

❤️

at 1:42 I swear that quadrants argument is theta-pi

@turksvids

5 жыл бұрын

I'm working from the assumption that I know the reference angle, call it z, but the actual angle is in QIII. If that's the case, then the actual angle would be pi + z. On the other hand if I wanted to go from a QIII angle to figure out it's reference angle, I would have to do angle - pi. Hope this helps!

Turk the KZreadr

Ok now how is it going to help me in real life situations? 🙂

@turksvids

4 жыл бұрын

add 0i to your situation and make it complex

here the value of k will be plus minus

@turksvids

4 жыл бұрын

Not sure what you mean, but I think I disagree. You could go with plus or minus, but not both. You want a unique representation of each root, not two representations of each root.

You're just rushing through everything ffs

@turksvids

4 жыл бұрын

Could you potentially slow the video down? Is that something that might help you out? Like, hit the gear and pick a slower speed? If that doesn't help I'm sure there are tons of other videos out there that are slower and might help.

@vvvxzv

4 жыл бұрын

@@turksvids it's more that you're saying a value without saying how you got that sometimes. Just abit confusing

@turksvids

4 жыл бұрын

@@vvvxzv Well that's significantly more useful feedback, so thanks. I make these videos as a supplement for my own students and I assume kind of a lot of background knowledge because of that.

Not good for a beginner

@turksvids

5 жыл бұрын

It's not exactly a beginner topic though, to be fair...Assume's a bunch of prior knowledge of complex numbers and algebraic concepts.