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Complex Numbers - Practice Problems 

The Organic Chemistry Tutor
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This algebra video tutorial provides a multiple choice quiz on complex numbers. It contains plenty of examples and practice problems.
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-tuto...
Full-Length Videos and Worksheets:
/ collections

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5 окт 2024

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Комментарии : 229   
@TheOrganicChemistryTutor
@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-OQz1ydBcQSA.html
@Goldenrose137
@Goldenrose137 9 месяцев назад
I’ve had a lot of problems lately with mathematics in college I can never thank you enough sir
@Goldenrose137
@Goldenrose137 9 месяцев назад
I’ve had a lot of problems lately with mathematics in college I can never thank you enough sir
@meatophoumkhmer5127
@meatophoumkhmer5127 4 года назад
i will tell the rest of the world that this is the best channel ever exist on earth.
@ipotipoopit2881
@ipotipoopit2881 3 года назад
Ikr
@fredoppong2991
@fredoppong2991 3 года назад
No doubt
@wendywang4096
@wendywang4096 2 года назад
this is literally saving my math grade lol
@RedorBlueDaily
@RedorBlueDaily 2 года назад
@@wendywang4096 nothing can save my math grade , but this THIS can help it a little
@radhikakumal8.9m47
@radhikakumal8.9m47 2 года назад
You are so expert on commenting 😂🤣
@cheghegerhard5075
@cheghegerhard5075 3 года назад
Impressive! Never had one topic rushed down so fast, yet giving one such intuition👏👏👏👏
@sanusioreoluwa8882
@sanusioreoluwa8882 Год назад
YH its was awesome
@georgesadler7830
@georgesadler7830 2 года назад
MR. Organic Chemistry Tutor, these are solid practice problems using Complex Numbers. I hope that students in precalculus are enjoying these great math videos.
@owusudwomoh6896
@owusudwomoh6896 5 лет назад
Your channel was just introduced to me and i bet you no one will ever regret learning through this helpful channel. biggups....
@StudywithMeee_
@StudywithMeee_ Год назад
I'm in 11th grade and this channel is really helpful for a beginner like me !!!!! Thanks a million billion trillion !!!♥♥♥♥♥
@shalatea5574
@shalatea5574 2 года назад
When I come to this channel, I always leave with a deeper understanding than I had when I came in. What a helpful RU-vid tutor! 👏
@brooklynwright7109
@brooklynwright7109 6 лет назад
best channel ever, I'm telling all of my friends about your channel
@beigomaacademymathsclub5873
@beigomaacademymathsclub5873 4 года назад
Greatest RU-vidr ever to walk the earth!
@purevoidwiz370
@purevoidwiz370 5 лет назад
Hey, just wanted to say this was really helpful. Thanks~!
@thandotv4614
@thandotv4614 4 года назад
Love from South Africa
@ziz8245
@ziz8245 2 года назад
Thank you a lot..god bless you as you teach many just to help humanity because you deserve to be a teacher and carry a noble case.
@k303k
@k303k 2 года назад
Thanks a lot!.Words cannot explain how much i thanks to you .I am a First year computer Science Student .I always afraid of maths.But now because of you i found fun in Caculating Maths.Thanks alot for this Channel.
@_minus.X3RO
@_minus.X3RO Год назад
you and I both 😅
@k303k
@k303k Год назад
@@_minus.X3RO yess i passed my 1st yr exam.Now i'm 2nd yr 1st sem. Fighting you can do it too✨
@_minus.X3RO
@_minus.X3RO Год назад
@@k303k tysm! I'll do my best!!
@xan6990
@xan6990 Год назад
@@_minus.X3RO Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV
@Coral_pepe
@Coral_pepe Год назад
Same at CSE
@Sultan_A
@Sultan_A 6 месяцев назад
Superb, The Organic Chemistry Tutor, Keep It Up!
@LogicBrother
@LogicBrother 2 года назад
Love these practice problems a bunch!
@netad7771
@netad7771 2 года назад
I love learning new things! I don’t have school but I’m watching this to learn and thanks so much for your content it is fun and enriching in knowledge!
@jakodiere8207
@jakodiere8207 2 года назад
You make math so easy bwana. I'm currently doing my CAT and you are doing me well
@kestoh111
@kestoh111 Год назад
Am humble I was totally far behind in mathematics but now am cool man, special thanks to you from Malawi, Africa (Lilongwe university of Agriculture and natural resources)
@viktorchan6422
@viktorchan6422 2 года назад
Amazing. This video is easy to understand.Thank You.
@trkingdavid4943
@trkingdavid4943 4 года назад
I like how you made it clear, keep it up
@anymaths
@anymaths 3 года назад
easy maths
@xan6990
@xan6990 Год назад
@@anymaths Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV
@SamsaK482
@SamsaK482 3 года назад
Hey thanks for all these videos, without you i couldn't pass math! THANKS! I have also a request, can you please make a video with complex numbers with the e function ? I don't this kind of video.
@trilokthakur2538
@trilokthakur2538 2 года назад
You will Live 10000 of year's....you Just made it so simple.. Thanks a lot..
@chesangwalter9057
@chesangwalter9057 2 года назад
Thanks for simplifying everything
@mathbunroeung7019
@mathbunroeung7019 3 года назад
Good teacher. I'm ateacher of math all so.
@sonnyvandoylebernales1982
@sonnyvandoylebernales1982 4 года назад
Just a little bit of suggestion sir, try explaining it more detailed and slowly or make some stops for us to absorb and comprehend what u'r saying. But this is indeed helpful. Thanks for the efforts.
@GTA5Player1
@GTA5Player1 2 года назад
I mean, you can always pause.
@agievendrick8435
@agievendrick8435 11 месяцев назад
Can't lie but you technique is great they always answer my questions
@as.trendygh
@as.trendygh 3 года назад
You are doing a great 👍 job and I love 💕 that ✊
@ayo94563
@ayo94563 6 лет назад
Your channel is the best, very helpful.... If I get a million dollars I'll give you 40% 😉😉
@potatoesyay7763
@potatoesyay7763 3 года назад
That’s 400,000 your giving him, man. That could afford my retirement funds (ΦωΦ)
@vessaislami
@vessaislami 2 года назад
i have an exam tomorrow ad this makes me SO HAPPY im actually getting it
@muhammedzulikaneni4452
@muhammedzulikaneni4452 8 месяцев назад
I can boldly come out and say that most of the things I know in math and physics are being learnt from this God sent
@haykalhakimy2880
@haykalhakimy2880 6 лет назад
wow i never seen your technique that u used to solve the final question
@khalidh5933
@khalidh5933 4 года назад
Thank you!
@abdulmlaikalomayri727
@abdulmlaikalomayri727 2 года назад
You're the best teacher in the internet + the world.
@rezervkanal
@rezervkanal 2 года назад
Perfect! but I've a question 3:49 why u divide 59 to 4 this is dark for me
@Shosholovee
@Shosholovee 2 года назад
same question do you still know?
@VladimirMladenovicOfficial
@VladimirMladenovicOfficial 2 года назад
@@Shosholovee cause you want to make that exponent to be in form i^4*y + i^z, cause we know i^4 is equal to 1. Example i^2021 is same as if you write i^4*505+i^1 which leads to answer i^2021=i.
@belaynehkefyalew4911
@belaynehkefyalew4911 4 года назад
love from ethiopia
@farida9146
@farida9146 3 года назад
Oh me too😁
@kabandajamilu9036
@kabandajamilu9036 3 года назад
So nice and educative
@afiqahsanbinmohamad3211
@afiqahsanbinmohamad3211 4 года назад
YOU should teach in oxford
@muhammedzulikaneni4452
@muhammedzulikaneni4452 8 месяцев назад
Thank you so much sir, you are a live saver
@chidalumichelle3009
@chidalumichelle3009 3 года назад
You are one in a million.......your videos have really helped me
@PrajanBant
@PrajanBant 3 года назад
Chemistry teacher teaches me maths...and he teaches better than rest of maths tutors over there
@hytham000
@hytham000 11 месяцев назад
Thank you very much , always everything simply and clever explaind ! keep em coming plz :)
@XuechengjunZhu
@XuechengjunZhu 4 месяца назад
thx bro i have eng1090 exam tomorrow this is all i know about complex numbers now
@ABDULLAH6017
@ABDULLAH6017 Год назад
Ohhh man god bless you. you save ton of my time
@aria_8675
@aria_8675 2 года назад
This video was a life saver
@musicplus7730
@musicplus7730 4 года назад
So good mr. Jg your help because of math eazy will be anderstood.
@Abiye-justiceTreasure-vg9jl
I normally always like ur RU-vid but u were rushing in this one but I still understood.
@calebmatutu9152
@calebmatutu9152 Год назад
This channel Is still the best #2023
@immanuelbasil806
@immanuelbasil806 2 года назад
You have to be awarded 🥺
@conquerinn
@conquerinn Год назад
i can learn more from u in about 2-3 hours then 15 hours in math class wich i dont understand anything as they mess up everything on the board and make the stuff much harder then it should be...
@Ranjana_M
@Ranjana_M 5 лет назад
Really helpful.... Thank you for the video
@sanchez5963
@sanchez5963 6 лет назад
Can u make a video on how to study? Like effectively please
@Salman-lone
@Salman-lone 5 лет назад
Watch vedio study less study smart
@isaacmanguiagot2261
@isaacmanguiagot2261 Год назад
Thanks you so much for your nice methods
@cobyace3162
@cobyace3162 6 лет назад
Can you please make a video on basic probability. Thank you
@umuhanabdulkadir2157
@umuhanabdulkadir2157 4 года назад
Thank you so much pro
@eltariquaye6928
@eltariquaye6928 2 года назад
So does i always =-1 all the time?
@vadlasubbachari7757
@vadlasubbachari7757 2 года назад
You explanation is really ossum iam studying 9th class it helped me a lot for your explanation🙌👏😸
@ANM644
@ANM644 Год назад
4:10 where do you get the 4??
@hrishikkumardas69
@hrishikkumardas69 5 лет назад
Thanks man it really helped me
@eagleplantry
@eagleplantry 3 года назад
YOU ARE THE DEFINATION OF NUMBERS
@zubairshaikh9742
@zubairshaikh9742 11 месяцев назад
Bro when you did the i^59 how did you get 59/4? From where did you get the 4?
@sakhiwosekunqobadlamini1593
@sakhiwosekunqobadlamini1593 2 года назад
I love your channel
@8884ffffffff
@8884ffffffff 2 года назад
Satisfying video!
@ChristianChris-w3j
@ChristianChris-w3j Год назад
The answers of question number five is so complicated you can use only this formula 1)i^2n=iF IT IS even 1 =iF IT IS odd -1 2)i^2n+1=iF IT Is ODD -i =iF IT IS EVEN i
@dragn7261
@dragn7261 6 лет назад
This is awesome
@potatoesyay7763
@potatoesyay7763 3 года назад
For question 5, why did he have to divide 59 by 4?
@gospheltube1011
@gospheltube1011 3 года назад
I think he used it to simplify i^59 59 is odd number,,,,but he got 14.75 if u multiply 4 with 14.75 u wont get 59 but by 14 u will get ,i think he used for this reason
@theosuleymanov2057
@theosuleymanov2057 2 года назад
Because i^1=i İ^2=-1 i^3=-i i^4=1 and then i^5=i^4•i if i^4=1 then i^5=1•i=i .and it will going on like this (Sorry l don't know that much English)
@nolvvd2434
@nolvvd2434 3 года назад
Thanks man this helped a lot
@edmondraysantos8013
@edmondraysantos8013 3 года назад
I have question in number 5 question. Where did you get the 4 to divide it to 59?
@jalynnhawkins7
@jalynnhawkins7 3 года назад
that’s exactly what i was wondering. i think it might be a multiple? i really don’t know
@xathirx7386
@xathirx7386 3 года назад
Bro he used a calculator
@rosacamelasaguid262
@rosacamelasaguid262 3 года назад
it's always a multiple of 4.
@TaylorPlays_
@TaylorPlays_ 2 года назад
@@rosacamelasaguid262 what is?
@oriehossain2410
@oriehossain2410 2 года назад
@@jalynnhawkins7 because if you take i^4, it equals to one. So what he did was make life easier for himself and express the 59 in terms of groups of 4. 1 to the power of any number is always 1. When he divided 59 by 4, you get 14 with a remainder of 3. Meaning that he can (according to index law) express i^59 as (i^4)^14 * i^3. Since i^4 equals to 1 (this is because i^2 is -1 and i^4 can be expressed as i^2 * i^2, which then equals to 1), the equation is 1^14 * i^3. Since 1 to the power of anything is 1, 1^14 is just 1. Therefore the equation simplifies into 1 * i^3. Now, i^3 is just i^2 * i, which is just -i (as this was obtained from -1 * i). The equation then further simplifies into 1 * -i which is just -i, which is how he got his answer :)
@edidiemewesayyes3500
@edidiemewesayyes3500 Год назад
please what is the meaning and background of modulus complex number
@a.m5547
@a.m5547 3 года назад
you are a hero
@Канал-щ9п
@Канал-щ9п Год назад
1:50 maybe easer to use abbreviated multiplication formulas?
@richarddoniyorov6457
@richarddoniyorov6457 3 года назад
Very helpfull and easy to understand,thanks))
@clementnkamba4121
@clementnkamba4121 2 года назад
Thank you sir...
@buwoyeye2718
@buwoyeye2718 2 года назад
May God bless you❤️
@ansah412
@ansah412 Год назад
Hi! For the question 5, where did the 4 and 14 come from? Please help!!
@erickung393
@erickung393 3 года назад
Love from Malaysia
@sakurautiha3869
@sakurautiha3869 3 года назад
Thanks man 👍🏻
@keanu7318
@keanu7318 3 года назад
for #5 why did he divide by 4 to begin with. Is that just how you always start a question like that?
@pritichavan7260
@pritichavan7260 2 года назад
❤️❤️❤️ Lovely Video ❤️❤️❤️ For Engineers and Doctors it's very simple and easy Maths😂😂😂 Basic knowledge of Maths Clear In 12th Class PCMB subjects Powerful 🙏🙏🙏
@sadnanjuhib
@sadnanjuhib 9 месяцев назад
Indian ahh comment 💀💀
@tedbantone3
@tedbantone3 Год назад
Thank u
@tabbyblu771
@tabbyblu771 Год назад
🙏thank you ❤️
@syedfaizalfaizal9637
@syedfaizalfaizal9637 5 лет назад
Thanks,it's helped me..
@ranjanasri6094
@ranjanasri6094 5 лет назад
Helpful. Thank u
@francistungale4876
@francistungale4876 3 года назад
Very nice
@randomperson4803
@randomperson4803 3 года назад
absolute legend
@UnLikqble
@UnLikqble Год назад
what board are you using to write these ?
@yuno6697
@yuno6697 4 года назад
4:03 WHY 4 or can we put any number
@arlindaduraku2564
@arlindaduraku2564 3 года назад
Have you got the answer
@yuno6697
@yuno6697 3 года назад
@@arlindaduraku2564 no why
@arlindaduraku2564
@arlindaduraku2564 3 года назад
@@yuno6697 well I got it 😌 its because " i " in the fourth power is equal to 1
@yuno6697
@yuno6697 3 года назад
@@arlindaduraku2564 k thx
@МиленДобрев-щ1ж
@МиленДобрев-щ1ж 4 года назад
i don"t understand in question number 5. Why did you decided to divide 59 with 4?
@lesserknownfacts7849
@lesserknownfacts7849 4 года назад
Its because of a pattern. First I am gonna tell you the pattern. i = -1^1/2 i^2=-1 i^3=i^2*i=-1*i=-i i^4=i^2*i^2=-1*-1=1 Now this pattern repeats at intervals of 4th power. example i^8=1 i^12=1 i^16=1 so, i^n= i^r (r is the remainder you get after dividing n by 4) I hope this helped you.
@lwandleshaun5464
@lwandleshaun5464 7 месяцев назад
Where did you get the 4?
@ryal_net
@ryal_net 10 месяцев назад
Please this i^59, where did 4 come from 🙇🏿‍♂️
@enumedwin9551
@enumedwin9551 Год назад
Why is 10i +10i cancelled in the second question while 21i+21i is added up
@melodycruz3032
@melodycruz3032 2 года назад
I'm so sorry but I just want to ask why "i square" is equal to -1 ? Sorry to ask ., But I hope you'll answer thanks
@eeriemyxi
@eeriemyxi 2 года назад
well, i variable is used to denote √-1 sometimes. square root of a number x, gives us the value which when multiplied by itself (x × x or x^2) gives back x. (√x)^2 = √x × √x = x so, (√-1)^2 = √-1 × √-1 = -1 2 months late but oh well!
@zapper354
@zapper354 2 года назад
On #9 I think I caught a mistake. When you add 16+9 on the denominator I think it should be 16-9 because the addition sign is being carried over by the 12i which got canceled out already. Anyway the different answer I got after catching the mistake was 18/7 +17i/7
@denzelsythan4074
@denzelsythan4074 2 года назад
You are wrong boss check the solutions again
@nevaskomaeda3051
@nevaskomaeda3051 2 года назад
Old but that doesn't happen. X - X becomes 0, so it's like having 16+0-9i^2. You could use an addition or subtraction sign for the 0 and it wouldn't change a thing. It becomes 16-9i^2 and i^2 becomes -1 and it obviously then turns into 16+9.
@xan6990
@xan6990 Год назад
@@nevaskomaeda3051 Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV
@akahebwadarius126
@akahebwadarius126 9 месяцев назад
was about to mention that
@user-dg1fc1im9i
@user-dg1fc1im9i 3 года назад
Thank youu
@nande1868
@nande1868 Год назад
Why do we divide by 4 on 3:49
@mwansaABH
@mwansaABH 4 месяца назад
The root of 2 times the root of 3 is not giving me the root of 6 please help
@nellyngulube5924
@nellyngulube5924 2 года назад
Why did u exclude i in first solution where u got 10 as anwer
@shammaalali3670
@shammaalali3670 2 года назад
I love you so much
@nawalnexxus5997
@nawalnexxus5997 3 года назад
Where the 59/4 came from?
@faithwangui7200
@faithwangui7200 Год назад
Why divide by 4, problem 5?
@Me-rd7po
@Me-rd7po 3 года назад
I can't understand 5
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