Complex Numbers - Basic Operations
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:
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Пікірлер: 632
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/emyDs9axg7XLj84.html
@mudlegacy
9 ай бұрын
love this sir 😉
@Kiniemyeuthuong
5 ай бұрын
1:00:00
@Kiniemyeuthuong
5 ай бұрын
❤ 1 - 1 59-D3 226.01 سامسونگ ا. infinity ∞∞∞
@Kiniemyeuthuong
5 ай бұрын
3±\|** -63 ****
@Kiniemyeuthuong
5 ай бұрын
4±
This man is a legend. He explained it better than my college algebra teacher ever could. If you're reading this, thank you.
@big8371
3 ай бұрын
ne za chto
Noticing the mistake means u learned from him. Don't forget to thank him :))
@deemperor9979
3 жыл бұрын
Were u from
@adamoja4295
3 жыл бұрын
@@deemperor9979 Argentina
@deemperor9979
3 жыл бұрын
@@adamoja4295 can i have your contact
@adamoja4295
3 жыл бұрын
@@deemperor9979 bruh what for
@deemperor9979
3 жыл бұрын
@@adamoja4295 we can be foreign friends
I noticed a mistake for once in my entire mathematics journey 😅 I'm proud of myself. Thank you
@user-je9xr4ez1u
8 ай бұрын
i also noticed a mistake @@blackychan8570
@calebdakpala331
5 ай бұрын
Same
@PromiseUkonne
4 ай бұрын
√9 = 3 not √9 = 9 please is that the mistake cause that is the . mistake I observe too?
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
Жыл бұрын
same
@manobrodeful
Жыл бұрын
yes so the answer should be 11 - 9i
@equinox7189
Жыл бұрын
Thank you.
@grapecraftfactions7675
Жыл бұрын
I noticed that too LOL
@craigasauruswrecks4915
Жыл бұрын
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!
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 жыл бұрын
I noticed that too.
@SwayzLandRecords
3 жыл бұрын
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 жыл бұрын
this show that we are concentrating .........i noticed that too
@whosurbunny
3 жыл бұрын
I caught it a well. Had 2 make sure I wasn't mistaken.
@living._truth3270
3 жыл бұрын
sqrt(9)*sqrt(9)*i(the squre root of -1) hes right
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
You really deserve recognition for your works. You are one awesome teacher!! May God richly bless you
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 жыл бұрын
Did you survive my friend?
@jonathan-ww3sx
3 жыл бұрын
@@mystilepo209 Looks like he passed out and never woke back up.
@Aminahn11
3 жыл бұрын
@@jonathan-ww3sx 𝚁𝙸𝙿☹︎
@InfoBinger
3 жыл бұрын
@@mystilepo209 Prob died like most Asian's do from sleep deprivation.
@black_crest
Жыл бұрын
@@jonathan-ww3sx my condolences to his family. bro died studying math.
if you watching this video in 2024 like my comment
@terencejoel6205
3 ай бұрын
You ain't alone Brother
learned more in 15 minutes (so far) than I learned the entire second sem. of alg 2. Thanks!!
@eyraiojeda9647
3 жыл бұрын
same
@charliechavez4374
2 жыл бұрын
Yesss its true man thanks to this guy appriciate the calm tone and time space between each explanation so clear...🖒👌
@colllo
2 жыл бұрын
It means you are like me
@ewandutoit7986
2 жыл бұрын
FAAAAAXXXXXXX
@nonokiko738
Жыл бұрын
-9i
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 жыл бұрын
So how did the test go ?
@thedivineslayer1301
3 жыл бұрын
@@andrewwatts1997 ^^
@BvngeeCord
3 жыл бұрын
@@thedivineslayer1301 ^^
@macaronus3032
3 жыл бұрын
@Strawberry Jam yeah I just wanted to tell everyone here that I managed to get an A+ I did it I passed
@justinblair9661
3 жыл бұрын
@@macaronus3032 excellent job!
I think your teaching style of directly jumping into problems is great
Honestly i need to meet this man and congratulate him on being the world best science tutor
It's before 4 years but it still help the generation. Tnx dude.
6 years later I just want to thank you for clarifying this concept, keep going to higher limits
You doing more than most uni professors, absolute hero
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.
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
Жыл бұрын
😮
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 😭
I’ve never had fun and understood so much in a math class before. Thank you sm!!
@mweshichanda6771
2 жыл бұрын
Same applies to me
You are a "one in a million" teacher. God bless.
learned more in the first 5 minutes than I did during a 90 minute class
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.
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!!
24:38 thank you sir. You made us understand the concept and realize the mistakes. Love from Ghana ♥️🇬🇭🇬🇭
@Omlet.official
9 ай бұрын
I realised multiple questions wrong, but turns out It was because i did them wrong and he only made one mistake 💀
I don't mind skipping lectures anymore coz I know The Organic Chemistry Tutor will take me through. Big thanks!!!!
I honestly appreciate this...you make it so uncomplicated
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 жыл бұрын
Yeah, I noticed that too.
@amandaarans2178
4 жыл бұрын
Exactly I thought i was going crazy I knew it yayyyyy
@nextifytechnologies9210
3 жыл бұрын
@nicole peterson it is true, /-9 = (/9)(/-1) = 3(/-1) = 3i, in this case -3i
@thusonyati1956
3 жыл бұрын
noticing the mistake mens you learnt something from him...
@Unkown242
3 жыл бұрын
I immidiately went into comments thinking i may have gone crazy from studying 7 hours a day
Dear organic chemistry tutor .... I am grateful to God for making me come across ur videos. Thank you 😊
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
2 ай бұрын
√-9 is 3i . according to the first one you did sir thank you
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.
Just completed the entire video and have understood everything from it. I appreciate your willingness to educate us.
This video has really helped me, thank you. After 6yrs the video is still help even to us learning it in 2023.
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.
You teach better than college, THANK YOU VERY MUCH!
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...❤
TYSM FOR THIS!!!! YOUR CHEM AND MATH VIDEOS HELP ME OUT A LOT AND I REALLY APPRECIATE YOU
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
you explain very well...thanks a lot
Thank you Sir. Using your videos I can study 1 hour before the test/exam. :-)
I watched it comletely till the end comfortably thanks to the clear and efficient explinations Thanks!
You the one I spend my time with all the time just as you did creating all these wonderful videos. May God bless you.
I love all your videos. You are the best. Thank you for all lessons
I like everything about you. You make things look more simpler for me.
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Your explanation is very easy to understand.... Am able to face the exam with confidence.... Thanks a lot, keep up with the good work
Literally a life saver man.. u don't even know how clutch this is
dude everything you teach becomes so easy, i love you!
Massive appreciation for the good work. Thank you
Your videos are so comprehensive, thank you so much!!!
THANK YOU so much for teaching. It’s easy to follow your instructions.
You're more than a genius. Your videos are really helpful. Thanks so much.
Thank you very much... I could understand this topic so well, all thanks to you🙌
amazing stuff, thank you!!! ;)
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 жыл бұрын
my thoughts right now as I stumbled on it .went here to see
@Youmni78
Жыл бұрын
@@mohameda.s5559 Same :D
@poramessianparapio9547
Жыл бұрын
Yeah that's -3i
I am not able to get membership of this channel and any paid video, but I just want to say you, sir, Thank you very much, You really saves many lives and I am One of them, The online classes are like shit, but sir your lectures is really make sense to understand, I am Thankful to you, Thank you very much. You are the best teacher in this whole world, Thank you very much, I was not able to study and One day I see your video and I just think you are only the best teacher for me, from beginning to last you put video and I was like dumb and not know anything, I just started from pre-algebra, and I am not dumb now, but many lessons are remaining, I think this time I really pass with my own words of theories and all hard maths sums in the exam of 12th standard, Thank you Very Much.
Thanks alot bes of you am gona pass my last year exams wow keep it up
You are amazing. Thank you so much. 👍
Thank you a lot for your lessons it really helps me :D
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This explains my problem better than my teacher can explain my problem, thanks dude
My favorite tutor online!.
You're a legend bro.
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
This is an amazing video. Thank you!
Great video! I learned a lot:)
your videos are really helpful thank you so much. I will remember this channel and show it to my kids in future🤧
He made complex numbers simple. He's a hero.
Always the best, Your videos are helping me during final exams. Much thanks.
The fact that I noticed your mistake means at the very least that your teachings are not falling on deaf ears. THANK YOU!!!!!
I know of an easier way to do problems like i^10 (my algebra 2 teacher taught our class this neat trick) You just divide the exponent by 4 (since it is the highest out of the 4 i variables) and you use your remainder for your answer (in this case, the remainder would be 2, so it would be -1)
@shridharkhare0302
2 жыл бұрын
That's the Basic way of solving here. I am amazed that you are being taught that as a trick!
@cientifica9150
2 жыл бұрын
I knew this too! Very helpful for those who don't know, thanks
I watched the whole video. Good job.
thank u sooooo much!!! I LOVE ur vids, they are so helpful!!!
Congratulations all explanations are simple and clear.
I'm so grateful to you , dude. Thank you infinitly.
The best tutor ever ✨✨
Thanks for the help making this topic easy to understand, thank you very much
I taught that i raise to power one is square root of (-1) but for the last example where i is raised to the power 201 (200 and 1), the answer should have been square root of (-1) but we got i. Can you please explain why?
error at 24:50, -9 wasn't simplified 👍
I swear this guy is the best at explaining stuffs to me about maths
Holy crap it makes sense now...thank you, thank you, thank you!
Thank you so much,, your teachings are really helpful
I really appreciate your job. thank you.
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.😊❤
Thanks for the Explanation
Really great content,I noticed the mistake something I have never done in maths. Good work sir
can anyone help, i dont understand 56:19, when i try to factor it i have a different and wrong answer, can anyone tell me why i cant use factoring in it and need to use the quadratic formula
thank you .it really helped me to understand.
Thank you so much. Subscribed!
May u continue to b rearded for all ur good deeds sir ur teaching is superb
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need help understanding how does 36 squared simplifys but 9 squared stays the same, at 24:50
@LuisMartinez-ly8xd
6 жыл бұрын
thx ur one of a kind
@consensusx2672
3 жыл бұрын
Its a mistake
This was awesome...mad respect💯
In a situation where there are two variables,how can I know when to compare the two equations or solve by substitution.
Thank you so much. This was really helpful ❤
am really enjoying this lesson your opening my brain... I hope I will be with you the entire time of course..
You saved my life,thanksssssss
Tomorrow I'm having an exam,i have learnt alot from you🙏 just hope it turns well,thank you 🥺