Complex Numbers 1(Definition, Addition, Subtraction, Multiplication and Division of Complex Numbers)

[@kennethkngoma1262]

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@@kennethkngoma1262 always welcomed 🙏

[@kennethkngoma1262]

DO YOU HAVE A VIDEO ON LOGIC GATES?

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[@muranetuusman4809]

Thank you sir you explained everything in simple terms and I understand completely. Answer= -1+1/2i

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Best tutor on KZbin❤❤❤❤ Thanks bro

[@jonahemmanuelofficial]

Always welcomed

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Your have clearly already heard this but I will say it again This is the best explanation of a concept I have ever had. You have gift May God bless you You have helped me so much There are enough words to express my gratitude Thanks a lot

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[@RyanGalabuzisekimpi]

No worries thank you

[@divineambrose8257]

Thank you very much for the explanation Sir,very comprehensive and explanatory,my answer is 4+3i/(1-i)³=-1/4-7/4i

[@jonahemmanuelofficial]

Awesome. Welldone 👍👍👍

[@Motivationgee]

​@@jonahemmanuelofficialomo😢 I don't know what I'm getting wrong, I'm getting the same answer but my i is on 1/4 My answer is 7/4+1/4 i😢

[@elsa_kay]

​@@jonahemmanuelofficialI'm a new subscriber from Nigeria my answer is -7/4+1/4i Am I correct?

[@mehdiabdi4706]

Yes​@@elsa_kay

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VERY CLEAR RIGHT FROM LIRA CITY, UGANDA

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You are the best tutor ever

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[@AlusineSahr-n1r]

Thank you very much sir i have learned a lot of this lesson My own answer is -2-14i/8

[@jonahemmanuelofficial]

Awesome. Glad to hear. Reduce to the lowest term

[@hunadipitsi8091]

You're a star sir. From South Africa 👏👏👏👏🤝🤝🙏🏻

[@AbdulsalamMaaruf-ns3ye]

😮we really appreciate you sir 🎉🎉🎉

[@jonahemmanuelofficial]

Always welcomed. 👍

[@AmelZiane-ul9lh]

Thank you, our teacher, for the wonderful explanation and the excellent examples. You are always wonderful.🎀❤️

[@jonahemmanuelofficial]

Incredible, thank you so much 👍

[@oluwaseunomogbolahantv5772]

I wished i had watched this video before i had my impromptu test on division of complex numbers Well detailed and explanatory.. God bless you sir🙏🏾

[@jonahemmanuelofficial]

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[@abdulbasitismail-o6e]

Best teacher on youTube Thank you sir🙏💕

[@jonahemmanuelofficial]

@abdulbasitismail-o6e Great, thank you so much 👍

[@givenmusaka1500]

This is the best explanation I have ever had 🎉 thank you sir🎉

[@jonahemmanuelofficial]

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[@JuliaJohn-l7i]

Sir, thank you for the explanation, very clear, all the way from Uganda. here is my answer: -2/8 +14i/8. hope i did well

[@jonahemmanuelofficial]

Awesome... Reduce it to lowest term, Welldone.

[@albiquin]

I got the same but simplified by dividing by 2... Thanks 😊

[@brandonotieno-oc7vl]

The lecture is really interesting... I've learnt a lot . thanks for detailed explanation

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[@hyginuseze5913]

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[@Derrobe]

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Best understandable explanation ever heard❤❤

[@jonahemmanuelofficial]

Thank you

[@TheophilusHagan-p9z]

Mr Jonah you are such a good lecturer and teacher at the same time

[@jonahemmanuelofficial]

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[@JJ_okonkwo]

I like your teaching boss, but we need more topics on math. I'm a university student, 100lvl

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👍

[@adorer.elysium]

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@@adorer.elysium thank you so much 💙

[@SopuluchukwuPrecious]

Thank you so much, Mr Jonah. I got 1/2 + i

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Great, welcome 👍

[@wawerugichia2642]

NICE EXPLANATION FROM..... NAIROBI KENYA

[@jonahemmanuelofficial]

Awesome. Thank you. Greetings from Nigeria 👍

[@JaneNgulube-y7x]

I really appreciate your teachings

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[@akampaclinton1868]

Thanks for uo best explanation... enjoying from Kampala Uganda 🇺🇬

[@jonahemmanuelofficial]

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[@oviefavour7107]

The exercise you gave 4+3i/(1-i)³ I got -7/4 + 1/4 i as my answer

[@jonahemmanuelofficial]

Break down to lowest term

[@sideeqolalekan4826]

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[@TheophilusHagan-p9z]

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This has helped me thank you sir

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[@mufukahappy3695]

Thank you for an amazing lesson all the way from Lusaka Zambia

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Amazing, thank you From Port Harcourt, Nigeria

[@FawazMaruf]

Tnx sir🙏 It's well understood

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[@Derrobe]

Can communicate please

[@Derrobe]

Can communicate please

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@@Derrobe 🙏

[@ephraimkamfwa2677]

Thanks very much Sir for your help

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Always welcomed

[@bonchel-p5u]

Thank u and my answer was-2/8 -14/8!

[@jonahemmanuelofficial]

Lowest term?

[@nwanbugudavid4419]

-2-14i/8 Thank you so much for making me understand this...

[@jonahemmanuelofficial]

Awesome. Reduce to lowest term

[@Alfredfreezy3]

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[@oneson_]

I have really enjoyed the Lesson 👍

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[@VictoriaUdomiaye]

This was really helpful i learnt enough thanks sir💯🙏

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[@VictorShikanga-x7o]

From kakamega Kenya,am really enjoying your lectures. Thank you sir

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[@suhonorine7237]

You're doing a lot sir Thank you so much

[@jonahemmanuelofficial]

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[@victoryosobor2159]

Thanks Sir 🙏 My Ans: -2. 14 ---- - ------ 8. 8

[@jonahemmanuelofficial]

Awesome. Welldone 👍

[@mikeltechcenter1924]

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[@UrjiLeta]

Thank you my sir...............................from Ethiopia Ambo twon

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[@animereels_24]

The answer to the last question is -14/8 +2/8i

[@jonahemmanuelofficial]

Reduce to the lowest term

[@animereels_24]

@@jonahemmanuelofficial So if I reduce it to the lowest term, the answer should be -7/4 +1/4i

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Your explanations are usually crystal clear, keep it up... ❤❤

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I am from Zimbabwe u are helping

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On Monday am in for mathematics bt I hope I wl do it better coz u r good in teaching. Thank you very much

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Good luck! 👍

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[@MercyMwangi-lr2zt]

thank you sir🎉

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[@ayomideadegoke6886]

Hi sir, thank you for the comprehensive lesson. I got 1/2 +7/2 i

[@jonahemmanuelofficial]

Well-done 👍👍

[@ayomideadegoke6886]

Is it correct sir??

[@akinyemiidowu4557]

Wow this really fascinating, it helped a lot thank you sir.

[@jonahemmanuelofficial]

Always welcomed

[@godswillchuku916]

Thank you Sir

[@jonahemmanuelofficial]

Welcomed! 🙂

[@RIAILUALDENG]

thank you so much for such a teaching iam from south sudan my answer is -2-14i/8+8i

[@jonahemmanuelofficial]

Welldone, break it down to it's lowest term

[@oviefavour7107]

The exercise you gave 4+3i/(1-i)³ I got 10/20 + 20i/20 as my answer.

[@jonahemmanuelofficial]

Break down to lowest term

[@oviefavour7107]

@@jonahemmanuelofficial I resolved it I got -7/4 + 1/4 i

[@Itz_Jamezy_Motive]

Pls can u enlighten me on the binomial expansion formula. The first one u applied the binomial expansion to has a +ve sign while d one u gave has a -ve sign could u pls explain how to go about it

[@jonahemmanuelofficial]

Already covered binomial expansion on this channel, do well to search it out.

[@Itz_Jamezy_Motive]

@@jonahemmanuelofficial okay. Thanks

[@Itz_Jamezy_Motive]

@@jonahemmanuelofficial can u also explain that of arithmetic operations on complex no. In Cartesian and polar form

[@IdrisALamin-z1j]

Thanks U very much sir with I assistance god will increase Ur knowledge, my own answer is -2/8 - 14/8i

[@jonahemmanuelofficial]

Reduce to lowest term

[@TshepoMonete]

Thank you bro ❤❤

[@jonahemmanuelofficial]

Welcomed 👍

[@Adebende22]

Just wow Easy to understand

[@jonahemmanuelofficial]

Awesome. Happy to hear

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The best tutor🔥🔥

[@learnwithsb123]

love your video so much, pls don't stop making videos . and also the link you said you will put how to calculate it with calculator

[@jonahemmanuelofficial]

It's not ready yet, when it is, I'll post

[@charityraphael7382]

Very nice video 🔥🔥🔥🔥 I got -20/16 + 10/16 i

[@jonahemmanuelofficial]

@@charityraphael7382 reduce to lowest term

[@charityraphael7382]

@@jonahemmanuelofficial alright sir thanks I got -10/8 + 5/8 i

[@oneson_]

Please sir can I get the link for expansion

[@jonahemmanuelofficial]

Check video description

[@NathanRutto]

Explain clearly and understandable 👏 I didn't understand anything from my lecture today😂

[@jonahemmanuelofficial]

Awesome. Glad to hear

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Thanks I'm from Rwanda🇷🇼🇷🇼🇷🇼🇷🇼

[@jonahemmanuelofficial]

Welcomed

[@sayunijay4742]

thankyou so much ....my answer is minus 2/8 minus 14i/8

[@jonahemmanuelofficial]

Welldone

[@TreasureOwasaseyei]

Sir please yhe link for the binomial expansion

[@jonahemmanuelofficial]

kzbin.info/www/bejne/hnbHh5yYj82dbrssi=qIApW6bR-YOhZa6P

[@DimbaSamuel-g6u]

thank you so much

[@jonahemmanuelofficial]

Always welcomed

[@bonchel-p5u]

I didn't get the link pls

[@ManonoAngello]

Thanks. For the Efforts Class was kawa

[@jonahemmanuelofficial]

Great.....!!!

[@teryilaemmanuel7078]

Thank u sir for the lectures but what I got is 10/20+20/20i reducing to the lowest 1/2+i how about it sir

[@jonahemmanuelofficial]

@@teryilaemmanuel7078 awesome. Welldone 👍

[@thelmaena-philips7230]

Detailed explanation tanks❤

[@jonahemmanuelofficial]

Awesome. Glad you understood

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This is the best

[@jonahemmanuelofficial]

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[@angellakachingwe3307]

Best explaination I have ever hard 🎉thank u sir

[@jonahemmanuelofficial]

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[@AbdulrofihAbdullahhamzah-hz3gh]

So so so interesting 🎉🎉🎉

[@jonahemmanuelofficial]

Thank you

[@SamuelSunday-lj9bn]

Best lecturer

[@MeldyNayame]

Thanks sir😊

[@jonahemmanuelofficial]

Always welcomed.

[@adesanwooluwafemi3433]

Thank you my answer is -2/8 -14/8i Or -1/4 -7/4i

[@jonahemmanuelofficial]

Awesome... Welldone 👍

[@brace.meee856]

Nice video sir all the way from SA ❤️

[@jonahemmanuelofficial]

Awesome. Thank you

[@gabey746]

Thanks a lot sir for this lesson I solved the exercise and got : 1/2 + i I want to know if this is correct

[@GivenMapani]

Very clear all the way from lusaka Zambia

[@jonahemmanuelofficial]

Awesome. Glad to hear

[@Givenhanchabalika]

My city

[@Derrobe]

@@Givenhanchabalika wow

[@MelanieAmani-h2v]

Weeds DT of hhfhgg

[@EbenezerCudjoe-mf5wt]

-2/0 -14/0i

[@jonahemmanuelofficial]

Welldone, try again, denominator can't be negative, it would be an infinite answer

[@PraiseNegedu]

Thank you sirrr

[@jonahemmanuelofficial]

Always welcomed.

[@henrynmecha229]

Keep up the good work

[@jonahemmanuelofficial]

Surely. Thanks

[@botahsprianalthomson6895]

Very educative lesson. Please, check the (1+i)^3 binomial expansion. On the i^3, why did you find -i instead of -1? Thank you

[@jonahemmanuelofficial]

Glad to hear.

[@jonahemmanuelofficial]

i³ = i × i × i i × i = -1 -1 × i = -i

[@anywarjimmy9115]

Well presented

[@jonahemmanuelofficial]

Thank you

[@jasonokerosi-s6r]

Recommended

[@jonahemmanuelofficial]

🙏

[@mayanjaNickson]

Tr thanks.

[@jonahemmanuelofficial]

Always welcomed 👍

[@MohamedalieBangura-p1c]

Sir, please the link on how to slove the algebraic complex number by using calculator

[@jonahemmanuelofficial]

Not available yet, will make

[@JulietSunday-gs8sr]

Wow thank u sir

[@jonahemmanuelofficial]

Always welcomed 👍

[@charityharrison9279]

Nice explanation

[@jonahemmanuelofficial]

Great...!!!!

[@francisat2112]

Thanks

[@jonahemmanuelofficial]

Always welcomed 👍

[@NelsonOguiroChrysantus-ur4es]

Thanks My answer is 1/4 - 14i/4

[@jonahemmanuelofficial]

Welldone. Reduce to lowest term

[@Moscote101]

Thank you very much 😂❤

[@jonahemmanuelofficial]

Always welcomed 👍👍

[@abdulrasheedtijani4394]

Answer to the last example= -23-11i/26

[@jonahemmanuelofficial]

You did great, but please check your work again. More carefully this time.

[@abdulrasheedtijani4394]

I just did again answer=26+7i/29

[@JoelWakyaya]

On complex qn I got 49/50+7i/50

[@jonahemmanuelofficial]

Check your solving again

[@thisisozioko]

i can't see the link to the binomial expansion sir

[@jonahemmanuelofficial]

Its there. kzbin.info/www/bejne/hnbHh5yYj82dbrssi=kIUmvl4EFeSWWCb2