Complex Numbers - Basic Operations

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This algebra 2 video tutorial explains how to perform operations using complex numbers such as simplifying radicals, adding and subtracting complex numbers, simplifying it in standard form, graphing complex numbers and calculating the absolute value of complex numbers. This video contains plenty of examples and practice problems. It's useful for students taking algebra 2, precalculus or college algebra.
Imaginary Numbers - Basic Intro:
• Imaginary Numbers - Ba...
Graphing Complex Numbers:
• Graphing Complex Numbers
Absolute Value of Complex Numbers:
• Absolute Value of Comp...
Adding & Subtracting Complex Numbers:
• Adding and Subtracting...
Multiplying Complex Numbers:
• Multiplying Complex Nu...
Dividing Complex Numbers:
• Dividing Complex Numbers
_____________________________________
Simplifying Complex Numbers:
• Simplifying Complex Nu...
SAT Math - Complex Numbers:
• Simplifying Complex Im...
Solving Equations With Complex Numbers:
• Solving Equations With...
Imaginary Solutions of Polynomials:
• How To Find The Real &...
Complex Numbers - Test Review:
• Complex Numbers - Prac...
______________________________________
The Discriminant:
• How To Determine The N...
Complex Numbers In Polar Form:
• Complex Numbers In Pol...
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Опубликовано:

6 ноя 2016

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Комментарии : 630

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-H8OQtxSRe_k.html

@mudlegacy 9 месяцев назад

love this sir 😉

@Kiniemyeuthuong 5 месяцев назад

1:00:00

@Kiniemyeuthuong 5 месяцев назад

❤ 1 - 1 59-D3 226.01 سامسونگ ا. infinity ∞∞∞

@Kiniemyeuthuong 5 месяцев назад

3±\|** -63 ****

@Kiniemyeuthuong 5 месяцев назад

4±

@Zion122 2 года назад

This man is a legend. He explained it better than my college algebra teacher ever could. If you're reading this, thank you.

@big8371 2 месяца назад

ne za chto

@frostcatmeow 3 года назад

Noticing the mistake means u learned from him. Don't forget to thank him :))

@deemperor9979 3 года назад

Were u from

@adamoja4295 3 года назад

@@deemperor9979 Argentina

@deemperor9979 3 года назад

@@adamoja4295 can i have your contact

@adamoja4295 3 года назад

@@deemperor9979 bruh what for

@deemperor9979 3 года назад

@@adamoja4295 we can be foreign friends

@emmanuellaamarachi Год назад

I noticed a mistake for once in my entire mathematics journey 😅 I'm proud of myself. Thank you

@user-je9xr4ez1u 7 месяцев назад

i also noticed a mistake @@blackychan8570

@calebdakpala331 5 месяцев назад

Same

@PromiseUkonne 3 месяца назад

√9 = 3 not √9 = 9 please is that the mistake cause that is the . mistake I observe too?

@emmanuelconfidence723 2 года назад

I noticed a mistake here, where the square root of -9=9i Instead of square root of -9 = 3i But I really appreciate you alot on your videos It really helps me alot Thank you very much

@emmywlkr7611 Год назад

same

@manobrodeful Год назад

yes so the answer should be 11 - 9i

@equinox7189 Год назад

Thank you.

@grapecraftfactions7675 Год назад

I noticed that too LOL

@craigasauruswrecks4915 Год назад

came to the comments to look for this as I'm learning this as well and I was like, what am I missing, thanks for the confirmation!

@ikeamala247 5 месяцев назад

Honestly i need to meet this man and congratulate him on being the world best science tutor

@Mimi-xy1tu 2 года назад

You really deserve recognition for your works. You are one awesome teacher!! May God richly bless you

@gageh3091 3 года назад

learned more in 15 minutes (so far) than I learned the entire second sem. of alg 2. Thanks!!

@eyraiojeda9647 3 года назад

same

@charliechavez4374 2 года назад

Yesss its true man thanks to this guy appriciate the calm tone and time space between each explanation so clear...🖒👌

@colllo 2 года назад

It means you are like me

@ewandutoit7986 2 года назад

FAAAAAXXXXXXX

@nonokiko738 Год назад

-9i

@zuggrr 2 года назад

I think your teaching style of directly jumping into problems is great

@manique6 7 месяцев назад

00:00 Learn how to graph and calculate absolute value of complex numbers. 08:29 Simplifying square roots of negative numbers 15:17 Simplifying complex numbers and adding/subtracting them 21:59 Simplify complex expressions in standard form 29:57 Multiplying a complex number by its conjugate results in a real number. 36:55 Learn how to divide complex numbers 44:25 Complex numbers can be put in standard form using various techniques. 51:40 Solving quadratic equations with complex roots 58:50 Solving quadratic equations and complex numbers 1:05:56 Learn how to find the equation given imaginary solutions 1:12:27 Learn how to solve quadratic equations and find the sum and product of roots. 1:19:21 Sum and product of roots of a quadratic equation

@macaronus3032 3 года назад

I will get an A+ on the exam just so all that time you spent to teach us doesn’t go into waste just watch I’ll make you proud

@andrewwatts1997 3 года назад

So how did the test go ?

@thedivineslayer1301 3 года назад

@@andrewwatts1997 ^^

@BvngeeCord 3 года назад

@@thedivineslayer1301 ^^

@macaronus3032 3 года назад

@Strawberry Jam yeah I just wanted to tell everyone here that I managed to get an A+ I did it I passed

@justinblair9661 3 года назад

@@macaronus3032 excellent job!

@kabouch 3 года назад

24:52 It is a mistake; the square root of 9 is 3; hence, 11-9i is the correct result of the subtraction

@charlottetlhabiwe5333 3 года назад

I noticed that too.

@SwayzLandRecords 3 года назад

Thank you for confirming, I've been working the problems out before he answers them and I noticed he didn't use the perfect square for that one

@mauriceouma8454 3 года назад

this show that we are concentrating .........i noticed that too

@whosurbunny 3 года назад

I caught it a well. Had 2 make sure I wasn't mistaken.

@living._truth3270 3 года назад

sqrt(9)*sqrt(9)*i(the squre root of -1) hes right

@nathanvanlent9407 8 месяцев назад

You doing more than most uni professors, absolute hero

@Chnbl 3 года назад

It's before 4 years but it still help the generation. Tnx dude.

@janethflores9520 3 года назад

This is really helpful though there some error, and I understand. This is not easy to take video lessons that is quite long, it cannot be avoided to have a small mistake. I salute the person who took time to share his knowledge for everyone to watch and learn that could be of help specially in this time of pandemic.

@aida-rz8uy 3 года назад

god i’m enormously tired and drowsy and i really just want to pass out on my bed right now but i would love to go over this topic before sleeping so one hour let’s fucking go

@mystilepo209 3 года назад

Did you survive my friend?

@jonathan-ww3sx 3 года назад

@@mystilepo209 Looks like he passed out and never woke back up.

@Aminahn11 3 года назад

@@jonathan-ww3sx 𝚁𝙸𝙿☹︎

@InfoBinger 3 года назад

@@mystilepo209 Prob died like most Asian's do from sleep deprivation.

@black_crest Год назад

@@jonathan-ww3sx my condolences to his family. bro died studying math.

@gloryelizabethafuaakoto518 Год назад

You are a "one in a million" teacher. God bless.

@antiscorbutic 2 года назад

6 years later I just want to thank you for clarifying this concept, keep going to higher limits

@samuelbaya8507 Год назад

thank you very much. I was thinking that i would be discontinued from my studies because of my poor grades but thanks to you awesome lectures which have changed me and raised me from zero to hero. GOD BLESS YOU

@theksmaster4097 11 месяцев назад

😮

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I don't mind skipping lectures anymore coz I know The Organic Chemistry Tutor will take me through. Big thanks!!!!

@Nxluda 7 месяцев назад

Holy crud this guy is an amazing teaching. Literally showing examples of every single step in solving the more complex problems before introducing those complex problems. I don't even need this for any class or project. I just ran into youtube short that used complex number and decided to look it up. GREAT WORK MAN.

@Ashley-ju8pc 2 года назад

I’ve never had fun and understood so much in a math class before. Thank you sm!!

@mweshichanda6771 2 года назад

Same applies to me

@rimberse3405 2 года назад

Thank you for explanations. I wish my college professors explained like you do. Even though the examples you show are very basic it helps to understand the principle. But, unfortunately the problems that i get to solve for exams are 100x times harder 😭

@qwesiadvice8189 2 года назад

24:38 thank you sir. You made us understand the concept and realize the mistakes. Love from Ghana ♥️🇬🇭🇬🇭

@Omlet.official 9 месяцев назад

I realised multiple questions wrong, but turns out It was because i did them wrong and he only made one mistake 💀

@tommokloeck2395 4 месяца назад

I watched it comletely till the end comfortably thanks to the clear and efficient explinations Thanks!

@crescendowook1733 2 года назад

Dear organic chemistry tutor .... I am grateful to God for making me come across ur videos. Thank you 😊

@michz9304 3 года назад

Dear Organic Chemistry Tutor, I love you! Thank you so much for your videos. That's all. Love, A student who has been watching all your videos to pass a math exam

@faraidhokoteramoyo7723 2 года назад

I honestly appreciate this...you make it so uncomplicated

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I dont know how i can show u my respect and admiration i have for you. I am so thankful. I will be your premium user when i graduate.

@justshan2413 7 месяцев назад

Just completed the entire video and have understood everything from it. I appreciate your willingness to educate us.

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This is very very effective, and I am so glad to have listened to your tutorial. It has really helped me. Thank you so very much @The Organic Chemistry Tutor. God bless you!!

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Far better than my teachers here in Nigeria....much love would enjoy more of your content on chemistry in year 2 cause I'm a pharm student...❤

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This video has really helped me, thank you. After 6yrs the video is still help even to us learning it in 2023.

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You teach better than college, THANK YOU VERY MUCH!

@edeltovilla2773 Год назад

My favorite tutor online!.

@rman6572 3 года назад

learned more in the first 5 minutes than I did during a 90 minute class

@hamarsali1060 7 лет назад

you explain very well...thanks a lot

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor, thank you for a monster and mammoth explanation on the basic Operations of Complex Numbers. The examples cover all angles of Complex and Real Number Operations.

@loatilelebala6749 3 года назад

POV: Your professor's notes and lectures are too long, don't make any sense and you have less than 48 hours until the exam. Thanks OCT, you are a real one!

@JimohAyomide-fg1bg Месяц назад

√-9 is 3i . according to the first one you did sir thank you

@karabonetshiomvani8362 6 лет назад

thank you very much. well, I think you made one of those silly mistakes at 24:28 the third example of adding and subtracting complex numbers. you said the root of -9 is -9i instead of -3i. anyway thanks a lot I now know something.

@elijahafekode8255 5 лет назад

Yeah, I noticed that too.

@amandaarans2178 4 года назад

Exactly I thought i was going crazy I knew it yayyyyy

@nextifytechnologies9210 3 года назад

@nicole peterson it is true, /-9 = (/9)(/-1) = 3(/-1) = 3i, in this case -3i

@thusonyati1956 3 года назад

noticing the mistake mens you learnt something from him...

@Unkown242 3 года назад

I immidiately went into comments thinking i may have gone crazy from studying 7 hours a day

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Massive appreciation for the good work. Thank you

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Thank you so much for this, I wish you the best health and luck all the time! THANK YOU!!!!!!!!

@chisengachisenga1683 Год назад

Your explanation is very easy to understand.... Am able to face the exam with confidence.... Thanks a lot, keep up with the good work

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Thank you Sir. Using your videos I can study 1 hour before the test/exam. :-)

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I love all your videos. You are the best. Thank you for all lessons

@godswayzottor5555 5 месяцев назад

Appreciate your teachings . God really bless you abundantly in wisdom cause most of our lectures aren't that good enough in supporting our studies. Though I noticed a mistake which is the square root of -9 should be 3i not 9i and many more. Teaching is not an easy job.😊❤

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Thanks alot bes of you am gona pass my last year exams wow keep it up

@yoorita8897 2 года назад

Thank you very much... I could understand this topic so well, all thanks to you🙌

@georgesongwe267 7 месяцев назад

The fact that I noticed your mistake means at the very least that your teachings are not falling on deaf ears. THANK YOU!!!!!

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THANK YOU SO SO MUCH. You are the best tutor. You helped me with math and chemistry so much. If i didnt find your channel i would be failing

@hadialqattan8309 3 года назад

You're the best, thanks a lot. btw, I think we've got a tiny mistake at 24:30, you said the sqrt(-9) = -9i instead of -3i.

@mohameda.s5559 3 года назад

my thoughts right now as I stumbled on it .went here to see

@Youmni78 Год назад

@@mohameda.s5559 Same :D

@poramessianparapio9547 Год назад

Yeah that's -3i

@lidia9951 2 месяца назад

Always the best, Your videos are helping me during final exams. Much thanks.

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am really enjoying this lesson your opening my brain... I hope I will be with you the entire time of course..

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This explains my problem better than my teacher can explain my problem, thanks dude

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I'm so grateful to you , dude. Thank you infinitly.

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I really appreciate your job. thank you.

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@sweetyvany99 5 лет назад

I watched the whole video. Good job.

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You're a legend bro.

@pasqualedippolito3135 3 года назад

Congratulations all explanations are simple and clear.

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The best tutor ever ✨✨

@lynngitau6245 Год назад

There was an error in one of the questions where the square root was supposed to be 3i.but despite the error am so thankful because of the presentation it has really helped me a lot

@joshbrown8291 Год назад

This is an amazing video. Thank you!

@felistuskabasiya1184 2 года назад

Thank you so much,, your teachings are really helpful

@debadityasaha856 2 месяца назад

Great video, I noticed a mistake in the problem (7 - √-9) - (-4 + √-36), the second step will be (7 - 3i) + 4 - 6i at timestamp 24:23, so the answer will be 11 - 9i. Thank you.