#DidYouKnow: The sum of two conjugate complex numbers is real. To access all videos related to Complex Numbers, enroll in our full course now: infinitylearn.com/cbse-fullcourse?TH-camDME&DtXXHpY&Comment To watch more Complex Numbers videos, click here: bit.ly/ComplexNumbers_DMYT
You're a life saver. When I can't find good explanation on all of TH-cam I can always trust you for short and crystal clear explanations. Thank you team
Dear DON'T MEMORISE team you are simply amazing, outstanding, fabulous and much more than that . Thanks for understanding the beauty of knowledge not the subject . Thanks alot .
YOU TEACH BETTER THAN EXTRA MARKS OTHER TEACH OTHER ONLINE STUDY PREPAID APP DON'T MEMORISE IS BEST TO UNDERSTAND IN WAY BUT I CAN,T UNDER THIS IMAGINARY NUMBER BUT I AM TRYING MAKE ME UNDERSTAND
EVERY introduction to imaginary numbers should start from the complex plane. Then move on to define what is the polar form of the complex number, then do a polar transformation of i^2 to show that i^2 equals a number with distance 1 from the center of the complex plane and a angle π (which is the number -1) and then that students have understood that you can in fact square a number and get a negative value, then move into generalising what imaginary and complex numbers are. This is how imaginary and complex numbers should be taught. Starting from the complex plane. Starting from saying the obvious: That complex numbers are just numbers that have 2 values. One value for each axis. Not starting the other way around... Mathematicians invented imaginary and complex numbers as a "trick that eventually goes away at the end" because they wanted to find solutions to their equations and generalise their formulas. And that's why they named them "imaginary" because even they first thought they are not really there... But now we understand that complex and imaginary numbers make perfect sense to most people, therefore a good teacher should start by the geometry of complex numbers and not by their attributes. Like this: th-cam.com/video/bIY6ahHVgqA/w-d-xo.html
thanks for sharing that link! i got a little confused halfway through but the first half of that video finally helped me understand complex numbers, decades after high school 😅
Thanks to understand this concept to me...I confused why it says a,b,c belongs to real numbers in quadratic equations. Now I really understand. Thanks too much 🤗👏👌🤝
Pretty great video. I liked how you covered the concepts behind imaginary numbers. It is awesome how you make it easier to understand with the historical backgrounds. Keep it up!!!!!! But I have a confusion :- i^2 = i * i = sqrt(-1) * sqrt(-1) = sqrt(-1*-1) = sqrt(1) = 1 but in your video you explained that i^2 = -1. HOW?????
You have 25 cows. All of them get confiscated by the state. At the end of the year, you'll get the square root of the amount of cows you previously received. That's how you get 5 imaginary cows.
we know, _/2=+1.414/-1.414so, _/2 whole square=_/2 *_/2= (+1.414/-1.414) * (+1.414/-1.414)= (+1.414) * (-1.414)= -2so _/2whole square = _/2 *_/2 = -2/+2so we get a negative number .please tell me how this comeI like your channel don't memorise. thanks for making such wonderful videos
Well, the explanation is good, but there's a flaw. You showed the photo of Tartaglia and said that its Cardan. And in reality neither of them discovered the cubic formula or i. i was discovered by cardan's student Bombelli. And the cubic formula for x^3 + cx = d was first discovered by del ferro, and after his death it was independently discovered by tartaglia. Cardan provided a revision on the cubic formula that included x^2 e.i, ax^3 + bx^2 +cx = d And while playimg around with the formula, Cardan discovered(in the configuration of x^3 = cx + d) that root of negative integer popped up, but according to Guass's fundamemtal theorm of algebra, he knew that was indeed one solution for this equation, so further on his student Bombelli devised the idea of there existing a new number i root of - 1
Don' Memorise, Sir or Madam, please consider the following suggestion to stop using the word IMAGINARY when the action contained is VERY REAL. Nature through evolution made so many beautiful functions that grow and decay to which we associate the exponential function with them. There are things and actions in nature that grow and decay in straight lines and others a money compounded in the bank do not have a area or a volume to rotate and operate in but they are as real as life is. But the universe have items which ROTATE and so the ROTATING OPERATOR is so useful in engineering where most of the actions we do on entities, we do actually rotate them around clockwise and anticlockwise with out gaining or losing magnitude but merely ROTATION. Without going any further, in your videos, will you please mention the fact that:- When in any equation, simulating an engineering function, we come to a situation as * when the we have to take the square root of a positive number, the answer to the entity we deal with is NOT ROTATING. * when we have to take the square toot of a negative number, the answer to the entity we deal with is ROTATING. It is as simple as that . Now if one describes the square root operation as being related to that operation where when two similar operation are conducted on an entity , this entity will finish facing the opposite direction that it started from. Note that ROTATION IS NECESSARY. Let is call and depict , the rotating anticlockwise operation of 90 degrees by the symbol (J) then, if we want to ROTATE an entity without affecting its size and make it face the opposite DIRECTION we need to ROTATE two 90 degrees ROTATING OPERATIONS so we can write. --( entity) = JJ( entity)= J^2(entity) so cancelling the ( entity) on either side, we have (--1) = JJ or J^2. so J has no choice but to be a ROTATON Of 90 degrees in the clockwise direction in our calibration of J. These rotations are all VERY REAL and we should not look upon the rotating operator J as imaginary.
I didn't do quadratic equations at high school because they just thought that I was a McDermott & that I was just bright enough to marry an Eloise Green !
![Imaginary Numbers Are Real [Part 1: Introduction]](/img/n.gif)
#DidYouKnow:
The sum of two conjugate complex numbers is real.
To access all videos related to Complex Numbers, enroll in our full course now: infinitylearn.com/cbse-fullcourse?TH-camDME&DtXXHpY&Comment
To watch more Complex Numbers videos, click here: bit.ly/ComplexNumbers_DMYT
This pg is not opening 😍
Can u make a video on surds based on order it is very difficult to learn
@@Madhu_1312 .c.c.c
But square of a number is negative Also
What we couldn’t learn 50 years ago we are learning today thanks to u tube the greatest teacher ever.
But your age is 24 years old
U mean youtube right cause you trigger me
@@ManzilSafarAurBaateinOfficial he is talking about past brother
How old r you
You showed us how to approach Maths.
Don't memorize, rather understand the beauty of concepts.💓💓
Dattatreya Pujar wwwwwwwq
You're a life saver. When I can't find good explanation on all of TH-cam I can always trust you for short and crystal clear explanations. Thank you team
I just want to thank you from my heart. You are doing a great work by making maths easier for us.
You knocked me off my feet! Thank you.
Happy to help!!
Mathematician: Ugh! I can’t solve this problem.......how about an imaginary number?
Me: Ugh! I have no friend........how about an imaginary friend?
Owk I will be your imaginary friend
Same
Sahi hai 😊
"i" will be your imaginary friend
@@Levi-ys9sb lol bro so underrated ...
These videos should made compulsory in schools...!! Thank you so much for all the efforts...!!🙏🏼
👍👍👍👍👍
Your teaching skill is amazing 😍 mam ...
I am addicted of your videos and I found them very useful....
Thanks for videos...💜💜
It's my pleasure Anil. Thank you so much for your appreciation. We love our Pi Army and would like to stay connected. You motivate us 🤗🤗
@@InfinityLearn_NEET I am a girl 😛 and this id is of my father ....thanks for my response🥰🤗💜💜💜
@@anilgawande2277 but what does he mean...????
@@tanushreekamble3091 😒😑
@@anilgawande2277 🤣😂😅
This is so much more easier to explain.
My favorite channel the best study channel I have seen ever😍😍😍😍
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'DONT MEMORISE' thank you so much it really helped a lot for my 11th grade!!!😀😀❤❤
Thanks a lot, Pranjal!
We are glad to know our video was helpful to you.
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Don't Memorise donny was being sarcastic and these men believed him 😂 🤣 🤡
3:20
very clear explanations
Thank you so much.
Happy Learning :)
Thanks a lot
Going to class 11 with some strong basics is good...
Extraordinary teaching 👏🏻👏🏻👏🏻
I really rely on you for concepts.
This channel is goated. Period.
Very good explanation in attractive way!!!
Thank you. This was a good review for me.
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Glad our video could help you.
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Thaks for the help i had a test in one hour and got it all👍
Keep it up
Thanks
Lovely and charming accent.
Happy Learning :)
it was nice
thanks
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Hi ! I enjoy learning from you. The way you explain topics is extremely good and makes us interested
thank u for explaining in such a nice way .
it was really awesome
You're welcome :)
Thank-you sir
But sir ,you still not answered my question
cleared all concepts......THANK U!!!!!!
very clever way of explaining hard topics
I just can’t understand why this voice sounds like an AI which learnt how to speak from all the nursery rhymes in TH-cam
SO ACCURATE
Just enjoy the content and have gratitude for it
I'm a musician and I don't know math but I understood, and it's show how you are great
Dear DON'T MEMORISE team you are simply amazing, outstanding, fabulous and much more than that . Thanks for understanding the beauty of knowledge not the subject . Thanks alot .
Thank you very much for your appreciation and for watching Akhand. :)
Tnque so much 😊😊
thank you for this video
ur explanation forced me to subscribe thank you very much please cover more concepts :-)
Thank you :)
Why not√'-3×√-3=√(-3×(-3)) =√9=+3and -3
YOU TEACH BETTER THAN EXTRA MARKS OTHER TEACH OTHER ONLINE STUDY PREPAID APP
DON'T MEMORISE IS BEST TO UNDERSTAND IN WAY
BUT I CAN,T UNDER THIS IMAGINARY NUMBER BUT I AM TRYING MAKE ME UNDERSTAND
Wn im unable to study dis channel motivated me mre to study by logics
The image you put in the video as Cardan was actually Tartaglia, a mathematician who work with the quadratic formula before cardan...
its really awesome video on imaginary numbers
Very Helpful video
We are really happy to hear that it was helpful to you. We are glad that you understood the concept. Do support us by subscribing to our channel. 👍👍
I love this channel
I know I am dumb but why are we studying something that does not exist..
√-4
What's the value
-2 or neagtive numbers dos not exist :)
Best way of explanation..
Glad you liked it!
Happy Learning :)
Great introductory video !!
Thank you :)
What was Euler tripping on?
Nice explanation....
Thank u so much don't memorise I can just say excellent and excellent !!
I like this channel❤❤
Does teno app use your videos....??????????.....
i just love your channel....
Thank you soo much don'tmemorise
I cleared my doubt about imaginary i
EVERY introduction to imaginary numbers should start from the complex plane. Then move on to define what is the polar form of the complex number, then do a polar transformation of i^2 to show that i^2 equals a number with distance 1 from the center of the complex plane and a angle π (which is the number -1) and then that students have understood that you can in fact square a number and get a negative value, then move into generalising what imaginary and complex numbers are.
This is how imaginary and complex numbers should be taught. Starting from the complex plane. Starting from saying the obvious: That complex numbers are just numbers that have 2 values. One value for each axis.
Not starting the other way around...
Mathematicians invented imaginary and complex numbers as a "trick that eventually goes away at the end" because they wanted to find solutions to their equations and generalise their formulas. And that's why they named them "imaginary" because even they first thought they are not really there...
But now we understand that complex and imaginary numbers make perfect sense to most people, therefore a good teacher should start by the geometry of complex numbers and not by their attributes.
Like this: th-cam.com/video/bIY6ahHVgqA/w-d-xo.html
thanks for sharing that link! i got a little confused halfway through but the first half of that video finally helped me understand complex numbers, decades after high school 😅
Thank you mam from India
Thanks to understand this concept to me...I confused why it says a,b,c belongs to real numbers in quadratic equations. Now I really understand. Thanks too much 🤗👏👌🤝
Thank you so much. Today I clarified my doubts.
Thanks your lecture is so important for students
You're welcome!
To view more videos for free, register on our website: bit.ly/DontMemoriseRegister
Happy Learning :)
Helpful ❤️
Fascinating
Keep it up...ur doing it in a nice way!
Great explanation
Thank you so so muchhh!!!! ❤
3:42
root -1 x root -1 = ?
root (-1 x -1) = ?
root 1 = ?
root 1 = 1...
wot?
I have same doubt. did you found the solution? please share
-1 is also the root of 1
I'm so in love with this channel
Pretty great video. I liked how you covered the concepts behind imaginary numbers. It is awesome how you make it easier to understand with the historical backgrounds. Keep it up!!!!!!
But I have a confusion :- i^2 = i * i = sqrt(-1) * sqrt(-1) = sqrt(-1*-1) = sqrt(1) = 1 but in your video you explained that i^2 = -1. HOW?????
I is sqrt -1, so a square un does a square root so you are left with -1
Sqrt(1) is also -1, i^2 strictly refers to the negative root of 1.
Please make a video on it!
Awesome 🥰
Very good
Awesome 👍
i just love this channel. . an' it 's useful for me
Excellent
Thank you so much Dangal for your appreciation. We are glad that you understood the concept. Do support us by subscribing to our channel. 👍👍
Pls what apps do use for that kinds of videos pls cooperate with us
Nice teaching
Thank you, AIPHS Official! We use Adobe After Effects. Keep watching 🙂
Amazing vedioes
Thank you, Habiba!
Keep watching and learning! 🙂
You have 25 cows. All of them get confiscated by the state. At the end of the year, you'll get the square root of the amount of cows you previously received. That's how you get 5 imaginary cows.
Hhahhaahha
Are you my retired math teacher who used cows as an analogy
😂😂
Nice 👌😍❤️
When I=√-1than i.i=-1
I
Am I right
I am in 10th and can still easily understand this.
√-9 = 3i and √-7 = (√7)i
Nice frnds. Good video
I'm glad to hear that. Thank you for sharing and thanks for watching! :)
Now I'm enjoying mathematics ..
🤗
Thanks for explain me
Thanks for the help💛😌love you so much🥺❤❤❤
we know, _/2=+1.414/-1.414so, _/2 whole square=_/2 *_/2= (+1.414/-1.414) * (+1.414/-1.414)= (+1.414) * (-1.414)= -2so _/2whole square = _/2 *_/2 = -2/+2so we get a negative number .please tell me how this comeI like your channel don't memorise. thanks for making such wonderful videos
keep doing this
Nice☺☺☺☺
0:27
Wait!
We can write root2 as root 2 over 1. Like root 2/1.
But root 2 is not an integer.
Cordial greeting.
Excellent video and very well explained.
Please could you tell me what program or application made the video.
nice
This channel is osm
I'm glad to hear that. Thank you for sharing and thanks for watching! :)
Awesome @Dont Memorize👍👌. Wen u vl launch ur app ?? , Eagerly w8ng ☺
Will keep you updated :)
OM WHEN CALCULUS OM
Don't Memorise
Which software r u using
Please add some videos about inclined plane, pulley and their mechanical advantages in the topic of physics
Thank you 😍
You're welcome! Happy Learning :)
Superb
Thanks a lot, VJ Success Maths!
Keep watching! 🤗
Solve by product law of square root
Pendyala education and entertainment channel👌
Mam please explain basic middle school geometry
tq so much
Thank you 😊
I LOVE your videos :-)
Thank you, thank you, thank you :-) :-)
awesome. .. pls upload more vds
Thank you for your comment! Sure we will. Please subscribe to our TH-cam channel: bit.ly/DontMemoriseTH-cam 😀
How did you make videos, which equipments you are using
√-1 phone = iphone
😂😂😂
Well, the explanation is good, but there's a flaw.
You showed the photo of Tartaglia and said that its Cardan. And in reality neither of them discovered the cubic formula or i. i was discovered by cardan's student Bombelli. And the cubic formula for x^3 + cx = d was first discovered by del ferro, and after his death it was independently discovered by tartaglia. Cardan provided a revision on the cubic formula that included x^2 e.i, ax^3 + bx^2 +cx = d
And while playimg around with the formula, Cardan discovered(in the configuration of x^3 = cx + d) that root of negative integer popped up, but according to Guass's fundamemtal theorm of algebra, he knew that was indeed one solution for this equation, so further on his student Bombelli devised the idea of there existing a new number i root of - 1
Fun fact, Bombelli didnt name sqrt of - 1 'i'. Euler named it so after many years but he didnt call it imaginary number.
Don' Memorise, Sir or Madam, please consider the following suggestion to stop using the word IMAGINARY when the action contained is VERY REAL.
Nature through evolution made so many beautiful functions that grow and decay to which we associate the exponential function with them. There are things and actions in nature that grow and decay in straight lines and others a money compounded in the bank do not have a area or a volume to rotate and operate in but they are as real as life is.
But the universe have items which ROTATE and so the ROTATING OPERATOR is so useful in engineering where most of the actions we do on entities, we do actually rotate them around clockwise and anticlockwise with out gaining or losing magnitude but merely ROTATION.
Without going any further, in your videos, will you please mention the fact that:-
When in any equation, simulating an engineering function, we come to a situation as
* when the we have to take the square root of a positive number, the answer to the entity we deal with is NOT ROTATING.
* when we have to take the square toot of a negative number, the answer to the entity we deal with is ROTATING.
It is as simple as that . Now if one describes the square root operation as being related to that operation where when two similar operation are conducted on an entity , this entity will finish facing the opposite direction that it started from. Note that ROTATION IS NECESSARY.
Let is call and depict , the rotating anticlockwise operation of 90 degrees by the symbol (J) then, if we want to ROTATE an entity without affecting its size and make it face the opposite DIRECTION we need to ROTATE two 90 degrees ROTATING OPERATIONS so we can write.
--( entity) = JJ( entity)= J^2(entity) so cancelling the ( entity) on either side, we have (--1) = JJ or J^2. so J has no choice but to be a ROTATON Of 90 degrees in the clockwise direction in our calibration of J.
These rotations are all VERY REAL and we should not look upon the rotating operator J as imaginary.
Ummmmmm
Carmel Pule' I am at university as an electrical engineer. I have not come across this yet, but it seems beautiful
I know what you're saying. Thank Krishna. Hare Krishna.
I didn't do quadratic equations at high school because they just thought that I was a McDermott & that I was just bright enough to marry an Eloise Green !