COMPLEX NUMBERS | How to Add, Subtract, Multiply and Divide Complex Numbers

[@TheAPlusTutor]

For the second example in Dividing Complex Numbers, the negative sign was cut off. The correct answer is -52 + 14i / 25.

[@MoonGirl-my4zn]

Thanks

[@megatrondeathray6574]

I was so confused lol. Thanks for the clarification.

[@johnkennedycamins5507]

@@MoonGirl-my4zn >

[@6vll]

the first example of division how u got 8i???

[@hamzamuci50]

​@@MoonGirl-my4znthanks you Soo much 😊

[@subalsakhadas2005]

The explaination was very calm and understandable regardless of a hurry one like most of the others

[@curtisgiere8804]

Im 55 and going back to college. your lessons.. .. .. have helped me so much. You are very clear in your explanations. Thank you. Plus the added benefit of always being able to coming back to them

[@TheAPlusTutor]

Thank you so much! And good luck on your journey! That’s so exciting!!

[@nanayaaadomaadoku-amponsah672]

I had no idea about complex numbers but you made it simpler thanks..🤗

[@RadarVibes]

Very easy to understand! Thank you for the explanation!

[@TheAPlusTutor]

Thank you so much! I'm glad it was helpful!

[@kingkaush4563]

thanks alot for the well elaborated examples . may you be blessed

[@davidmaram35]

It took me a year and half to understand the operationsof complex number before i come here, but now, your 14:40 minutes explain the whole year and half, thank you and be bless..............

[@quack_malard5793]

Thank you so so much. I’m a grade level ahead of my class and I’m really struggling. I have adhd, ocd, math dyslexia, and autism, so I definitely have a harder time learning. Thank you m

[@primuscliff7313]

Thanks tutor, you made it easy to understand. I don't know if you could please make a video on Integration?

[@yatokatsugi7213]

your voice i was listening all time

[@LuhuhuGahhw]

On subtracting, example no.1 it should be -3-8i ? Or I am mistaken?

[@Rithwik25]

loved the session thank you Dear

[@denzelmampondo1987]

sensational i've never understood these until now thank you

[@user-S19]

Very easy to understand and learn. Thank you.

[@TheAPlusTutor]

You’re welcome! I’m glad you enjoyed!

[@centralpace3168]

You teach better than my actual math teacher :3

[@latoyaetienne1726]

I have a question, I did the second example three times and I keep getting the result -52+14i/25. After I multiplied the 12i squared to (-1) I got -12...... -40 +14i -12 over 16 + 9 = -52 + 14i / 25........ What am I doing wrong?????

[@TheAPlusTutor]

Thank you so much for your question! You are absolutely right, my negative got cut off in the video, adding a note in the description now!! Thank you!

[@o.m.001]

Perfect video, thanks!

[@defnotwinter]

ur so nice. omg u totally helped me... way much more than my teachers. THANK YOUU!!! I LOVE YOU!! I WISH NOTHING BUT THE BEST FOR YOU !!!

[@haoboihaolai3728]

You are one of my favorite teacher ma'am ☺️

[@TheAPlusTutor]

Thanks! Glad to hear it!

[@ChideraKenneth-k7s]

I understood it honestly your the best

[@LaxArteta]

I am so grateful I watched you tutorial on this

[@JoshScottttt]

I stg you are so much more clear than my actual teachers thank you so much

[@ericrosario1345]

Nice Thumbnail! Clear and easy to see!

[@TheAPlusTutor]

Thank you! I’m constantly making improvements so your feedback is helpful 😇

[@centroidg9851]

very good, very simple and ez to understand thanks

[@TheAPlusTutor]

You’re very welcome! I’m glad to hear it helped!

[@chettykenney5115]

Best tutorial page so far

[@TheAPlusTutor]

Thank you so much!

[@JosephOtieno-zu2rm]

Simple to understand 😊 thank you

[@evertonkahari5911]

What's the software you using, better than my University

[@finnjake8264]

Such an awesome video! Thank you very much❤

[@NilangaAbhisheka]

Great Explanation 💯

[@rsxryzen8629]

Hey excuse me. Example one of dividing complex numbers. (8-5i)(8+5i) denominator* 8 multiply by 8 is 64 Shouldn't it be - 5 × 5?

[@TheAPlusTutor]

Hello! Thanks for your question! Yes! But then you will have i^2 * 25 which is negative 1 so the denominator will become 64 + 25 I hope this helps!

[@sadiqsheikh5298]

Very helpful and easy to understand...thank you so much 😊

[@binyamyallew4120]

i just want to say Thank you very much!

[@Dereck27]

Your explanation was very good. I understood everything but one thing and that’s the subtraction. Would you group like terms together and then add them? Kinda confused on that

[@TheAPlusTutor]

Thanks for your question! When you subtract, first you want to distribute the minus sign, so basically change all of your signs starting at the minus sign. Then add your like terms. I have another video with more examples of subtraction, so feel free to check that out and let me know if you have any more questions! Or want some more information on subtraction! kzbin.info/www/bejne/g3rbnoKOnsmrarc

[@deBelovedd]

Wow... I must commend you. I just got a perfect understanding of this topic now. Thanks A+

[@mwenechogondwe8516]

Simple and straight forward👍

[@TheAPlusTutor]

Thank you!

[@TheFireQueen2476]

Thank you so so so much, today in class I kept dozing off (since it's my first hour), and idk why since i went to bed early last night, so I had no clue how to do this, I asked my teacher if I could go to her after at the end of the school day but she had a meeting, and Savvas Realize's (our textbook brand) online website wasn't working so i had no idea where i was going to watch the videos, but I found this video instead, thank you so so much!

[@TheAPlusTutor]

I’m so glad you found this video and it was helpful!! Thanks for your message ❣️ if there’s anything else you’d like me to review just let me know and I can try to make it happen!

[@TheFireQueen2476]

@@TheAPlusTutor absolutely! I will definitely keep that in mind! 😁

[@Itachi_uchiha1906]

Clean & clear explanation ma'am 👌 👏 thank you😊...a small request it would be great if you work on writing the number 6😅...thank you ma'am 😊

[@abdulmusaweromari1805]

Thanks madam your explanation is amazing!

[@amadbadal228]

Thank you teacher it was very short and easy.

[@yukakapaluy8866]

This was so helpful thank you so much

[@isamallahzaat]

Hy 😊 I'm Pakistani and I am student of Diploma of associate engineer,I love your tips and helping lecture you are so nice lectures.long live you Assalam o alaikum

[@TheAPlusTutor]

Thank you for your kind words!! I wish you the best of luck in your journey

[@avanthikareddy9711]

Thank you it is easy to me now..

[@deepti.smastamardi9549]

Very nice explanation ⚡❤

[@jawad_youtube]

Thank you very much, Ma'am❤

[@TheAPlusTutor]

You’re very welcome! I’m glad you enjoyed!

[@pelasgeuspelasgeus4634]

Excuse me, why does CN are treated as vectors? Are they numbers or vectors?

[@neisesmart6853]

Do you think you can do a video on completing the square? Your videos are really helpful by the way!

[@TheAPlusTutor]

Thank you so much and thank you for the suggestion! Yes, I will be posting a video on that, stay tuned! 😊

[@yahelphysics1914]

Thank you so much ...very helpful. Good explaination

[@ankurmishra4042]

Thanks For Such A Great Video

[@thebigheartedboyy]

Thanks for your help today I know how to go about complex numbers

[@LittleOutCast]

GREAT VIDEO. very helpful!!!!

[@TheAPlusTutor]

Glad you think so!

[@johnlungu2439]

Very good tutor

[@HikmatPir-qe3pc]

Thank you mam😊 Proud of you

[@sonambidlan-vq6ui]

THANK U SO MUCH U ARE THE BEST 🥰🥰😁😊

[@Dangarad.01]

Thank you sister.❤🙏

[@brucewyllis563]

Thank you 💕

[@successologun4244]

thanks so much for d explanation its really interesting and helpful

[@cliffordcarr-z2f]

excellent!!!!

[@jacksonmmene2712]

Well explained thanks

[@mexyztv3256]

Little bit confused in the last part dividing complex numbers How did u get -94 +8i

[@TheAPlusTutor]

Thanks for your question! When you FOIL, you are left with 30i^2 which becomes -30 since i^2 = -1. Then your like terms are -64 and -30 so combining those gives you -94. Then you combine -40i and 48i to get positive 8i. Hope this clears it up.

[@azizsdiq8614]

Well done teacher 😘😘

[@stevemulwa7883]

Your video has helped me a lot. Thanks

[@TheAPlusTutor]

So glad to hear that!

[@noobkin6995]

Thank you, very helpful

[@TheAPlusTutor]

You’re very welcome! Glad it could help!

[@shadowdulpireal1040]

Can i ask a question My question is where did the plus come??

[@mr.someone4573]

Thank you, well explained

[@SimonTeshale-i8f]

on the division part you said we change the sign of the complex numbers but our teacher told us to change the sign of the imaginary part not the whole complex

[@FelixSikindo123]

Thank you for sharing

[@JhusThin]

Easy and simple to understand 😅

[@kemalahmedadem1468]

So amazing 👏 im 11 its so understanding it helps me in exam i wish

[@kr5334]

Thank you ❤🫂

[@clumsydins9771]

Really helpful. And great presentation.

[@TheAPlusTutor]

Thank you! I’m glad you found it useful!

[@divineobot1605]

You forgot the minus sign on 52, but thank you very much, your video is very helpful.

[@helenkalobwe8408]

Thanks a lot 😊 I now understand 😊

[@casein_bread]

Thank you!

[@johnsoneffum6433]

Thank you very much ❤

[@Omar-kl5go]

Thank youu! I was really struggling with that thing :)

[@TheAPlusTutor]

You’re welcome! I’m glad to hear it was helpful!

[@lilyigani6358]

Hey, I really loved the video but how did you get 52+14i at the end Over here I got -52+14i Am just curious, pls reply I have exams tomorrow thanks😩💔

[@TheAPlusTutor]

This is the correct answer! The negative sign was cut off in the video but you did it correctly!

[@luvochiya4134]

❤❤ I thank you 🎉🎉🎉

[@emirjais7471]

i subbed because i like your video.

[@TheAPlusTutor]

I appreciate it!!

[@ogeidnomar4601]

In your addition example where you had 2+3 sq root of 9... Why did you put 3 instead of 2 in front of sq root of 9??? That small bit is confusing me.

[@ogeidnomar4601]

Nevermind, I completely misunderstood, but figured it out. I forgot Sq roots do not need a 2 as that is the default value (oops on my part :-)))

[@TheAPlusTutor]

Glad you figured it out!! Let me know if you have any other questions I’m always happy to help!!

[@jaymeemargarethsilao8837]

Thank you sm for this!

[@shilpakanakagiri9129]

Tq so much 👌👌👌

[@movieclips267]

thank you

[@sadiqsheikh5298]

I also enjoy alot... 😊

[@beronicaleih6254]

Hi. Part po ba ang topic na ito sa Abstract Algebra po?😊 Thanks po sa pagsagot.

[@oops9053]

understood easily , thanks a ton

[@TheAPlusTutor]

Most welcome!

[@EvansMweemba-to4ow]

Thanks u so much

[@hadirhussien2072]

Thank youuuuu

[@SukhwinderSingh-xi7nx]

Thank you madam ji

[@evzlen]

7:35 i don't understand how (-6i√2-6i√2) is 12i√2 why is it still √2

[@jillboone8657]

You taught me better than my math teacher

[@TheAPlusTutor]

I'm glad I could help!

[@nyakallomoshoeu4644]

Hello,isn't negative 52 there?

[@TheAPlusTutor]

Hi, Yes! The negative sign got cut off but yes it is -52 at the end!

[@johnlaurencegumapac9447]

In the subtracting complex numbers, this should be the answer: 1. -3-8i 2. 1-12square root of 2i There should be no positive sign on the middle.

[@johnlaurencegumapac9447]

When using calcu you can use mode 2: complex. You can type the whole equation and you will got that answer

[@zaprince620]

Nice method maim I love your method 🤗🤗

[@TheAPlusTutor]

Thank you!

[@MUKATEGERIYvonne]

Thax

[@thelixel606]

Woah thank you, pretty nice vid

[@TheAPlusTutor]

Glad you liked it!

[@zakariyekhaalid3289]

Tnks 💯

[@Dynamic_107]

Great ❤

[@MoonGirl-my4zn]

Thanks

[@yasminamin2166]

(a+bi) (c+di) =ac +adi+ bci

[@TheAPlusTutor]

Since i is the imaginary number that will go last and then bc represent the numbers from your expressions. This is just the template once you have actual numbers you can use this as a guide which is why we use letters to represent the numbers!

[@Cartoonist_Editx]

Your voice is so gorgeous brw amazing videob😂