Imaginary numbers - Introduction

[@Mcpcpftw]

This is pretty much saying you can't answer the problem so you put an I in

[@ireneiris4014]

i agree... hahaha

[@nosson77]

Mcpcpftw no, actually what it's saying is that you can't use the symbols 1 2 3... to solve it. symbols 1 2 3 etc. were also made up as were pi and √ etc

[@simonruszczak5563]

The flavour of "I" is fudge.

[@sleepydog9968]

Spartan pretty much.

[@r011ing_thunder6]

I'm suppose to be doing math but this one problem keeps kicking my ass.

[@skkkkiipp]

It is one I to the power of 268

[@SteveInLava]

@@skkkkiipp Rules of i i raised to even numbers and not divisible by 4 is -1 i raised to any number divisible by 3 is -i i raised to the power of any number divisible by four is 1 i raised to the power of any number divisible by 5 is just i

[@somali_lyrics]

Thanks alot. What you have posted 6years ago really helped me today. I really appreciate.

[@winterberry3412]

You explained the pattern better than my teacher. She's a good teacher but I sometimes fall behind.

[@vegetaclanmain]

sganime96 you’re the only person who doesn’t insult your teacher in these videos.

[@asimabbas8328]

You pretty much taught that better than literary the majority of try hard teachers. Keep doing what your doing

[@ArchangelSmurf]

I feel smarter already

[@MathMeeting]

Must be that great teacher in the video :)

[@ArchangelSmurf]

Agree

[@ArchangelSmurf]

It has already been 2 years... wow i just got a notification that I got a like on my comment lmao. when u see how far you come in 2 years... AP phsycis AB calc AP chem AP stats.

[@zKite00]

Well, you do get smarter everytime you learn something new

[@mathsandsciencechannel]

Good content. Check out here. Learn more here

[@SteveWithASideOfSalt]

I was doing some studying for midterms and this really helped out!

[@Wojciech940]

I thought it`s going to be more complex, harder to comprehend but yet I think it`s easy. Thanks!

[@jyotigandhi2882]

Great i m so confused about complex number. u make it easy for me.God bless.:)

[@zackg.9412]

That was really helpful because my math teacher told us what the powers were but I didn't know why they were and I like to know why I do things in math so this was really helpful thanks man

[@want-diversecontent3887]

-1 * x on the number line shows rotating 180° while 1 * x gives 0° and they do that consistently so imaginary numbers should be in the middle y axis, giving 90° rotations. So that's another way to visualize it.

[@MrBlash93]

Amazing explanation. Thank you

[@Emc-pb5kz]

Thanks the whole series "imaginary #" is informative

[@nupsu1100]

I'm usually not a big fan of math, but this is actually really interesting.

[@mlijah]

THANK YOUUUUU i fell asleep in math and needed hw help

[@stephenugochukwu9472]

Thank you so much boss; you made it easy peasy

[@jenanali5919]

Thank you!! the only video i understood!

[@mattvjmeasures]

Great post, thanks

[@MathMeeting]

You're welcome! Glad I could help :)

[@movieclips8809]

Thanks for sharing you idea now I goona understand complex number with deep concept🤓🤓🤓

[@emilysands5494]

this makes so much more sense!! thank you!!

[@swizzbeats1212]

I always wanted to know this, thanks again ^.^!

[@umairsaad9067]

Isaac Newton Newton does not know imaginary numbers,I always doubted his laws!

[@simonruszczak5563]

You invented calculus but you only now understand this, its integral to understanding maths. P.S. Thanks for inventing gravity, liked the film too.

[@nobodycares3900]

dude, thanks makes so much sense now.

[@davidarapkilel4942]

Whenever the power of "i" is odd... the result will always be negative, however; the vice versa is also true.

[@lydiawang8162]

Would all real numbers count as imaginary? Since, they can always be multiplied by i^4, right? (e.g. 5 = 5i^4)

[@lawrencebermudez]

i=1 because I is roman numeral for 1

[@WanBelltrum]

Lawrence Bermudez or a lower case l

[@simonruszczak5563]

And X is not unknown, it's 10 .

[@lampy4485]

ummmmm. bro...... what? i is used to represent an imaginary number. You can call it chocolate cake but that would just be a representation of the idea of i. It does not mean that i is literally chocolate cake..... like for real.

[@lampy4485]

This is KZbin. 90% of these comments are serious.

[@noah2123]

You find how many 5's are in 268 which is 53,so then 53x5 and you subtract that from 268 which equals to 3, 53 is an odd number so (i) to the power of 53 is i to the power of 1, you add 3 to 1 and the exponent is 4 and i to the power of four is 1. 1 is the answer.

[@mattk2572]

Great video but the way he draws his "i" makes me want to rip my eyes out and step on them

[@thedarkblueslime7406]

Matt K don't you mean rip your "i's" out?

[@seaangellee8988]

I have attached the photos as I am currently working with a couple few people in the office to see if they can help me with the key and I will be back on the 29th November so hopefully I'll have a chance for a good few hours soon enough for me i and I

[@json_n]

Kinda late comment He draws his i’s like that so that there will be no confusion with i and 1

[@ernestoviveros3154]

You make good virios

[@POMMI]

Imaginary numbers are simoly a subset of a complex numbers! Meaning imaginary nos are only part of complex numbers. For imaginary, it’s an i symbol while complex is a+bi form where a and b are real numbers while i is an imaginary! Complex numbers composed of a real numbers and an imaginary one!

[@yeat7264]

Ok but why all the parentheses? I get it when it's (-1) but why put parentheses around just 1?? (1)????

[@chandrasai1990]

Thank you I couldn’t even understand my teacher in my class

[@FranciscoSanchez-mp5tz]

i^6= (i^3)(i^3)= (-i)(-i)=? is this a correct way of solving i to the 6th power? negative i times negative i

[@olidi19]

I still don't get why i squared is negative 1. Why doesn't i squared equal 1? When you square anything, you're basically multiplying that number (we'll call x) by x. i squared would the square root of -1 times the square root of -1 right? If that's right, all you have to do is is multiply -1 and -1 which equals 1, then take the square root of it.

[@mediamaniacs8876]

Because i=√-1 so square of it will be 1 Learn maths like never before Visit #mediamaniachub on youtube, maths section.all classes

[@andreadhelpra7264]

So we know that i^6= (i^2)(i^2)(i^2)= (-1)(-1)(-1)= -1 as explained in the video, but what if i^6= (i^3)(i^3)=(-i)(-i)= i? Does it mean that i^6 has two solutions?

[@andreadhelpra7264]

And actually the same question is applied to i^4= (i^3) (i^1)=(-i)(i)= -i

[@davidarapkilel4942]

Whenever the power of "i" is odd... the result will always be negative, however; the vice versa is also true.

[@energie9966]

nice. i also have a power introduction to application of complex numbers

[@TravelingPrik]

Me and math go together like 2% milk and plutonium. But for some reason this video made me understand imaginary numbers like milk and cookies

[@loicdallaire1714]

square root of -1 squared equals negative one, because they cancel each other. But if u put it this way : square root of -1 times the square root of -1, multiply the number inside the roots so -1 time -1 equals 1 so square of 1, so i exponent 2 equals -1 and the square of 1 ? Im confused

[@jordanrosario3304]

i have a theory were i = x^(-0) power. if lets say 10^0=1 then 10^-0=-1 get were im going?

[@midimusprime3936]

Yeah but there's no such thing as -0 or +0 There's only 0 It's between the positives and the negatives

[@simonruszczak5563]

So the "anti-area" of an "anti-square" of "anti-length" 4i by 4i is - 16 . And the anti-volume .of an "anti-cube, 4i x 4i x 4i is - 64 I . ( - 16 x 4 I ) And the anti-hyper-volume .of an "anti-hypercube, 4i x 4i x 4i x 4i is 256 . ( - 16 x - 16 = 256 , or - 64 I x 4 I ). Got it.

[@ipraku]

BRUH I DONT GET IT STILLLLL

[@Vhifzvjif]

LegendaryGaming139 [AMV] I'm sorry bro, idk how to explain it

[@conradgarcia4850]

wow. is there a proof of this? could there be a limit where there will be no i any longer?

[@mijaco999]

Why isn’t it just undefined? Like dividing by zero

[@blauesserpiroyal2887]

Because you need it for some things

[@yc9743]

When we squared i,then Why The minus sign with 1 didn't become positive??

[@raccoon8962]

So, what number is i? Is it just a random letter used to have an impossible equation? If so, from now on, I say that the square root of -36.2 is equal to w. There. How do you like it now?

[@Hewillkeepwatch]

Load Game how about calling it 6.0166435826 × i ... i meant n36.2sr ( negative 36.2 square rooted)

[@raccoon8962]

No. It's just w.

[@AnimatorXP]

Sure, you are totally free to do that, but in that case w also = 6.0166435826 × i

[@simonruszczak5563]

So, just like rectangular roots, but a special case of.

[@nehalrohitclassix8848]

so -i-does have a single fixed value?

[@auper2223]

Thank you

[@ChiefBaldingWinnebago]

How would I go about a problem like -6i=-8+(20y)i

[@zacqd1553]

In what grade will u learn this

[@humanname5071]

1st grade

[@qj832]

omg thank you so much for teaching us how to do math. I was confused on imaginary numbers before, but now i have a way better understanding of this. i feel smart now...

[@JCQ205]

HAPPY NEW YEARRRRRRR BROOOOOOOOOOOOOOOSSSSSSSSSSSSS

[@kunn14]

Thank you so much..

[@zamurai322]

Why i² is not taken in to √-1 * √-1

[@weedwaifu8637]

Question: isn't (√-1)^2=|-1|=+1 ? or am I just too wrong?

[@trevortjes]

(√-1)^2 = (√-1)(√-1) = (i)(i) = i^2 = -1

[@weedwaifu8637]

trevortjes oh yes i messed up my maths... I confused it with √(-1)^2 which is equal to 1. I realised this overnight and had no time to change the comment. Thank you!

[@Hewillkeepwatch]

AngelicMess Where TF did the |-1| came from it's just -1 the square root and the power to 2 cancel each other Edit: (hates himself after he read the replies)=me

[@Craig_edge2002]

So my teacher has been wrong the whole time about negative numbers

[@emdconsulting1]

Thanks helped so much ; )

[@lovelearningplaying3208]

Thank you for your very helpful videos :-)

[@natstanton252]

this really helped

[@scottbw123]

I have a question. If you take i^2 and i^6. These are both equivelent. They both are equal to -1. Now what I take the root of both sides. Then you get i = i^3. But that means that -1 = -i which means that -1 = 1... Could you tell me where this proof went wrong?

[@scottbw123]

Sorry, my proof showed that i = i^3 which then means that root -1 = 1. Why is this incorrect thoughy

[@scottbw123]

**READ** I have another correction to my proof lol. Still in agreement that i = i^3, this means that i = -i. That is where there is an issue. How does i = -i

[@orionlopez8707]

I searched this up and am here to express my hatred for the concept of imaginary numbers. Have a nice day

[@richardrobinson7645]

how does 1^4 = 1 again?

[@cheezkid2689]

Hello to anyone in Mr Moore's class.

[@Blackberg0]

Love u bro

[@arianamcentee4690]

SOOO what number cubed equals 1 besides 1

[@lovelearningplaying3208]

It is sad that the music clips get watched by millions , while informational and scientific videos do not take as much attention, most people on this planet are empty minded

[@420Slaterson]

Yeah cause what has music ever done for anybody? You know people only watch these math videos when they need help with homework. It's not really the ideal material to put on when you're hanging out with other people... or trying to learn a song on an instrument...

[@WanBelltrum]

Heba El-Zarka this is an entertainment platform. If we wanted to learn we'd pay attention in class

[@NinuRenee]

Heba El-Zarka that's an illogical comparison, go back to school.

[@jaelasmith5936]

We have school for a reason.

[@picapow6959]

How is SQUAR root 2 of -1 equal one?!!

[@swapnapadhi4473]

What is the value of i to the power 1&0

[@bannor216]

internet learning is FAR superior to the fallacy of scholastic pedagogy and the distracting and often disastrous competition among peers...nevermind the abhorrent culture shocking effects a young mind endures while being lambasted by further extraneous secondary contrarians that often take center stage such as bullying, sex, drugs, dumb asswipes and the like. All this noise is deafening so no wonder we end up with a society where no one stops for a person calling out for help...furthermore, a society that predates itself with a kill or be killed rational towards themselves and the planet. All stemming inherently from our youth in school chasing some inane desire to justify our pride when we outwit our fellow classmates by raising our hand first and fastest to answer questions before anyone else. The monumental and primary failure of scholastic structure lies here; while those students who don't know the answer or how to derive the question's contents are not only still left unlearned, they are furthermore humiliated and left wanting. This is the primary contrary effect to the nature of learning inherent in the overarching fallacy of the illusion of successful education that plagues public scholastic systems.

[@enriquediaz6306]

Imaginary numbers are a conspiracy

[@maysamfayzolahzadeh4277]

Thanks man

[@AkshayAravindAKATAZZ]

how about the square root of -1 multiplied by the square root of -1?

[@user-ox4ii2bw6x]

That's just -1...

[@Sailing.Paperboat]

what is i^ -87?

[@alishax6336]

Thanks super helpful

[@Hewillkeepwatch]

is I × -I equal to 1? how much is -I^2? how do we subtract I? like 4 - I wtf happened in this world????!

[@user-ox4ii2bw6x]

-i squared cancels out the negative sign in basic operations, ex: -1^2=1^2, because -1x-1 =1x1.

[@junayedbogdadi9277]

What is value of +-i?

[@shahadnd9185]

Isn’t (-1).(1) = -1 ?

[@user-ox4ii2bw6x]

It has to be the same number multiplied by itself 1=/=-1, however i=i.

[@stevenos100]

mathematicians use "i" electronics techs use "j" "i" is simply a set of two possible numbers (+1 -1) (+2 -2) etc... potential imaginary or potentials as in capacitive plates holding voltage +Q and -Q real current is a number as in imaginary power P=Ev^2/R (sin) and real power (cos) P=I^2*R total being P=Ev*I

[@chrismathew5322]

What about 0 to the power of 0?

[@RANDOMGUY2101]

0

[@RANDOMGUY2101]

0^0 = nothing to the power of nothing only values over 1 will equal 1 1^0=1 2^0=1 3^0=1 etc....

[@simonruszczak5563]

No value, times no times, no value, is no value. Three, times no times, three, is one.

[@Hewillkeepwatch]

-1 ^ 0 = -1 ?

[@PubgTrolls]

Can anyone explain = i x i =√ -1 x √-1 = √1 = 1 But the actual value is -1

[@axknzi]

when you do √-1 x √-1 the radicals cancel out and you get -1. you dont multiply the numbers on the inside

[@mediamaniacs8876]

Remember when bases are same powers are added.....power rule....so when u add piwers ur left with 1 in power ok... For better undetstanding of maths....Learn maths like never before Visit #mediamaniachub on youtube, maths section.all classes

[@initiateatol7270]

New sub

[@hihellow6185]

i is my new favorite number

[@williedwyer8736]

Mine too

[@enriquediaz6306]

You cannot split the square root of -16 into the square root of 16 times the square root of -1 because -16 is under the influence of the radicant- the square root symbol.

[@Ampwich]

Any number to the 0 power is 1? Wouldn't 50 to the 0 power be equal to just 50? But 1 instead?? I don't get it....

[@stevensmith6338]

DaGerminator it would equal 1

[@Hewillkeepwatch]

even infinity by the power of 0 is equal to 1 even 0 (not sure) but i don't know about negative and I

[@Hewillkeepwatch]

i (no pun) think that I is not negative nor positive like another dimension Igative and Isitive

[@summercrow3938]

And where am I gonna use this in life? Yeah that’s what I thought

[@Joshua-wj7bd]

What's the point of anything if we all die in the end

[@athanasiosrekkas4302]

4:35 so 0=4👍

[@chapingames9169]

Now I know it

[@sdjfjvfvfjdsnde]

Thx

[@loudejesus5973]

3:56 Sorry, dumb question. Wouldn't that assume that "i" is positive?

[@user-ox4ii2bw6x]

i is a special number. It can be observed in real life, however if we import it off into a number line, the positive sequence of i starts at 0 and goes up, the negative sequence of i goes downard. and because it strands off of 0, it is neither negative nor is it positive; Just like 0.

[@jammedyam3389]

haha just like my friends

[@jammedyam3389]

literally stopped everything I was doing and searched this up to make this joke

[@gregoryyang8988]

👍👍

[@enriquediaz6306]

The sq. root of -16 is not equal to sq. root of 16 x sq. root of -1. You cannot break down sq. root of -16. Because -16 is under the influence of the radicant- the square root symbol.

[@enriquediaz6306]

Imaginary numbers is a conspiracy.

[@Angie-hq1xk]

So we are studying things that don’t even exist in life *uncomfort* lol jk I’m actually a math lover

[@bailarinasesina1752]

que dios te bendiga

[@wooghie]

I’m in 8th grade

[@lulube11e111]

I'm in kindergarten and I already know this

[@lampy4485]

I've literally just exited the womb and I already know this.

[@lneri7152]

Lampy But the joke's on you hater, I'm a 3 day old fetus and I have an IQ of 3.1456737590096060606606060660606696969

[@justinchen1038]

Yo that's Finna Yaaas you have low IQ...(dumbfuck)

[@fredflintstone4138]

Say No to sqrts of negative numbers! Sqrt function does not extend into negative numbers. Just leave it as i squared .. never decompose it further (it doesn't help). Just Say No! to square roots of negative numbers! Bad math! = (

[@argentum3919]

-1x1= -1 -4x4= -16 so sqrt -16 = ±4 what is wrong with this?

[@blueberry1c2]

+chinacane -4 and 4 are different numbers. thats not how square roots work. also, ±4 means -4 OR 4 so the square could be either 4 x 4 OR -4 x -4, not -4 x 4

[@prodbytdash4013]

I understand this, but it still makes no fucking sense.

[@simonruszczak5563]

Having problems with "anti-numbers". You're not alone, people in the anti-universe have the same problem with our "numbers".

[@MCSre]

59000th view

[@zfeedrv]

what kinda of witchcraft is this