Imaginary and Complex Numbers [fbt]

[@vascobishop732]

If received a pound for every time I mention Mr Whitt (Larry Whittington) to my work colleagues and associates, I would be a very rich man. I don't take anything from other great scholars including Julio Gonzales, the Organic Chemistry Tutor and Khan Academy but Mr Whitt ramps it up to Mach 10. Seeing that Mach 9.6 is the fastest world speed, its easy to see where Mr Whitt is standing in all of this. Top man all the way.

[@FortBendTutoring]

Thanks 4 the huge compliment Vasco! I pray I’m able 2 keep up the quality of content this comment demands!😅

[@woodrowdwightfrisbee8240]

this is the absolute best explanation of math and algebra I've ever seen or heard!

[@aloz1991]

I swear if not for this channel i would be failing my college algebra class right now. Thank you sir for all your great help, I'm sure I speak for a lot of frustrated students when I say your videos have been a breath of fresh air.

[@FortBendTutoring]

Happy 2 help Alberto!

[@darina4117]

he still does :)

[@Kinsman19]

Thanks again, Mr. Whitt. You're the best math teacher I've ever had.

[@FortBendTutoring]

+Blake Butler I appreciate your patronage and support Blake! 👊🏾

[@saneliswentombifuthi1156]

You are the best tutor ever watching from SA💯

[@magdyhussein1173]

Believe it or not, one day you will be a rich man Mr. Whitt. In fact, you deserve it, and you will earn it for your knowledge and the way you deliver your knowledge to different educational levels of people in a very easy and crystal clear way.

[@FortBendTutoring]

Thanks 4 the kind words and support Magdy! I really appreciate it! 👨🏾‍🏫😁

[@jaliskamclaughlin6395]

Thanks for posting this, it helped clear up my deficits with imaginary and complex numbers.

[@FortBendTutoring]

+Jaliska Mclaughlin Happy 2 help Jaliska! Thanks 4 the feedback!

[@missbutter81]

awesome! i missed the class about the intro to imaginary numbers and was so behind, but thanks to you i'm all caught up now! love u!!

[@FortBendTutoring]

Love you 2! Happy 2 help! :-)

[@samanthaetchie9212]

I had missed school when my Pre-Cal class was learning this! I am soo glad that I watched your video!! It helped soo much!!

[@shawnawalker9202]

'Get them arrows poppin!' I love that! Your a great teacher and you make it fun! Keep up the good work Mr Whit

[@ArtieGonz]

Thank you Mr. Whitt. You make this sooo much easier.

[@FortBendTutoring]

+ART GONZALEZ Happy 2 help Art! Thanks 4 watching!

[@hamzaafandi9293]

Amazing tutoring, thanks a lot, in 20 minutes you absolutely smashed it!

[@FortBendTutoring]

Thanks Hamza! Thanks 4 watching!

[@jwisk33]

I want put red box around all my exams like you do Mr Whitt ! You do it so fantastically , l want learn from you.

[@FortBendTutoring]

Thanks 4 the support J Wisk! Let’s “Red Box It” together!👨🏾‍🏫😁

[@jordanketchum1526]

once again Mr.Whhhhhhit you've shown me a better and easier way to do this... Thanks again!

[@FortBendTutoring]

My pleasure Jordan! Keep your foot on the gas!

[@nicos6494]

Thank you very much. I was confused after learning this in my class this morning, but after watching this it's now crystal clear. Thanks again.

[@jayceinfinitealgharhythmns9814]

Phenomenal Job!!! Your truly a great instructor!!!

[@FortBendTutoring]

Thanks Joseph! I appreciate your feedback!

[@planetmoustaphar236]

hello FBT AKA Mr Witt i just wanted to give positive feed back because i went threw three math tests and all i did to study was watch your video and solve your exercises and i got As thank ypu so much Mr Witt i wish you will continue this way at least for 7 more years cause i wont pass high school and college with out ya

[@FortBendTutoring]

+gay MOUSTAPHA 69 I'll do my best 2 be here 4 you! Good luck and thanks 4 the positive feedback!

[@1DPhil.]

Awesome presentation / lecturing. I really enjoyed it and it was really helpful. Keep up the good job Mr. White. God Bless.

[@FortBendTutoring]

Thanks Damaine! I appreciate the feedback!

[@BoxingPride]

Fort Bend Tutoring Mr. Whitt If the exponent is 4 and lower, do I still divide it by 4 every time regardless of how low the exponent power is and follow the rules you gave for every imaginary value on 1a or does it follow the rules you did with problem '1D'? Please explain and correct me if I'm wrong. Thank you! Mr.Whitt

[@FortBendTutoring]

BoxingPride If the exponent is less than 4, then use the sequence provided above problem 1a. In other words, you need to know i ¹ = i, i² = -1, i³ = -1 and i⁴ = 1.

[@BoxingPride]

Fort Bend Tutoring So why didn't you divide problem 1D by 4? 1D is difficult to understand because what happened to the -1? It's like it just disappeared. Did you use i ¹ = as a fraction, because I think that's what you did at 1d but I want to be sure :) Thank your Mr. Whitt I can't thank you enough! If you have any video other then this that can explain it further... please let me know!

[@Feffifefferoni]

This is so great honestly. I'm very thankful for this!

[@FortBendTutoring]

+Stephanie Velez My pleasure Stephanie! Thanks 4 watching!

[@candyruiz]

Thank you sooo much! Seeing your videos makes math soooo easy! I wish my math teacher had your teaching skills!

[@FortBendTutoring]

candy ruiz You're very welcome Candy! Happy 2 help!

[@adinacappell2494]

This is great for understand the math in quantum mechanics. Thank you!!

[@FortBendTutoring]

+Adina Cappell You're very welcome Adina!

[@arnieflores93]

Thanks!! you saved my grade!! from my MA 1414 class... since my schedule was messed up and I had no choice to take Dual Enrollment Algebra 2 and College Algebra and I'm basically 1 semester behind.. Thank you so much!

[@FortBendTutoring]

+Arnie Flores Happy 2 help Arnie!

[@jamesforeman4368]

Making the complex simple. Thanks again.

[@FortBendTutoring]

Pun intended James? *complex lol

[@sebastiansedaghatian9396]

thank you got me through finals

[@FortBendTutoring]

Happy 2 help Sebastian and congratulations on your success!

[@moonrocks]

Amazing job! Thank you very much sir, you make it very simple to understand, more please :)

[@KarliCassandra]

I just want to take the time out to thank you! Im currently studying for my finals and your channel has been the biggest help. You're really saving my butt lol

[@FortBendTutoring]

Karli Wilkinson That's wonderful news Karli! Good luck on your finals and thanks 4 watching!

[@miltondasilvarosauro2]

Thank you for the work you do is excellent.

[@FortBendTutoring]

+Milton da Silva Rosauro Thanks 4 the support Milton!

[@rhenalynbo9396]

THANK YOU SO MUCH MR. WHITE . NOW I UNDERSTAND HUEHUEHUE promise to my self i'll never sleep in the class :3 . GOD BLESS YOU MR.WHITE :)

[@FortBendTutoring]

Happy 2 help Rhenalyn! Thanks 4 watching!

[@chantalfoster9517]

for the quadratic equations when the expression doesn't equal to zero how do you know which to add or subtract to both sides? please help. I understand it for the most part it's just that one step I'm trying to figure out.

[@FortBendTutoring]

+Chantal Foster Use the additive inverse (opposite) of the terms you want to eliminate to set the equation equal to zero. It's up to you to decide which side of the equation you want to equal to zero.

[@chantalfoster9517]

Fort Bend Tutoring OK thank you. but just so I'm clear. it doesn't matter which one I use. correct? thank you so much you're tutorial s has been great.

[@yendys631]

You are a life saver!!!!

[@FortBendTutoring]

Happy 2 help Sindey! Thanks so much 4 watching! :-)

[@oseihieeigbobo7653]

Was 100% helpful..learnt a lot..Thanks

[@FortBendTutoring]

+Oseihie Eigbobo You're welcome Oseihie!

[@julianparrish8197]

Salute brother your a great teacher thank you!!

[@FortBendTutoring]

Thanks 4 the support Julian!

[@JossinJax]

Love this guy!

[@FortBendTutoring]

+Jossy Beth This guy loves you! Thanks 4 the support Jossy!

[@chelseagoorcharan653]

Thank you very much this video was very helpful💜

[@FortBendTutoring]

Happy 2 help Chelsea! 👨🏾‍🏫😁

[@melikesgames5452]

Thank you for another excellent lecture! You make math enjoyable, truly. Question, what device and app are you using to write the math problems?

[@FortBendTutoring]

Apple iPad Air and an Adonit JotPro Stylus. Thanks 4 watching!

[@gaBetibu]

. . . though I just love & greatly benefit from your outstanding vids, Prof Whitt, I sure missed your usual top-notch intro by Ms. Liquor in this one (greatly adds to the appeal & "stay-tuitiveness" for me . . . :)

[@FortBendTutoring]

I’ll keep it in mind Glo Amador! However, everything in moderation! We wouldn’t want you 2 get drunk off of Shirley Q. Liquor’s goodness now do we?😎

[@arissaarif2825]

thank u so much!! I'm so glad i found this :-) this helps so so soo so so soo much thank u Mr.White! :)

[@FortBendTutoring]

You're very welcome Arissa!

[@wannursyaziyah5489]

thank you soooo much. I understand it very well

[@FortBendTutoring]

You’re very welcome Wannur! Happy 2 help! 👨🏾‍🏫😁

[@danielkayode6870]

Thank you sooooooooooooooooooooooooooooo much

[@FortBendTutoring]

Happy 2 help Daniel! Thanks 4 the feedback! 👨🏾‍🏫😀

[@septube26]

The first set of problems, why did you choose 4 to divide everything?

[@stephanieveldhousen6915]

Very informative thanks

[@vishaleah8667]

I GOT IT!!! Thank you!! 👍😎

[@FortBendTutoring]

+Vishy Alfy Wonderful! Way 2 go!

[@lizzier1031]

THANK YOU SO MUCH

[@FortBendTutoring]

My pleasure Lizzie! Thanks 4 watching! 👨🏾‍🏫😁

[@realcygnus]

priceless content !

[@FortBendTutoring]

Thanks 4 watching!

[@BoxingPride]

Fort Bend Tutoring Where did you get the positive 1 over i on problem on 1d Mr. Whitt? Do you have a video that explains it more or can you explain it through reply. Thank you!

[@FortBendTutoring]

BoxingPride Sure, it's because of the negative exponent. Check out this video: kzbin.info/www/bejne/oF7Yq3R5itqhqLM

[@BoxingPride]

Fort Bend Tutoring Thank you so much Mr. Whitt. You helping us succeed! I just have one thing I don't quite understand how you got i over -1 on problem 1d. Do you just carry over the numerator (i) to the next numerator or what? I understand how you got the denominator (-1). I'm catching up Mr. Whitt! I got everything except that tid bit! Please respond when you have the chance! Thank you!

[@FortBendTutoring]

BoxingPride I'm rationalizing the denominator. A process that is also used when dealing with radicals in the denominator of a fraction. For more info on this check out this video: kzbin.info/www/bejne/gpfWe6ubrspkeaM When we eliminate the negative exponent by placing i in the denominator, we then rationalize the denominator to get rid of the i. For this problem, that means multiplying the numerator and denominator by i. When multiplying, multiply straight across. BoxingPride if you have any more questions regarding this problem or any other, please ask a tutor, your teacher or you can hire us for an online tutorial.

[@victoriacoffee8213]

The first question why did you get the 4 to divide I am not understanding

[@FortBendTutoring]

+Victoria Coffee It's due to the sequence repeating every 4 "i"s and because i^4 is 1.

[@manw3bttcks]

I would think you could introduce computing the cycle of the i by using the modulus of 4 instead of doing all that division (39 mod 4 == 3 and so on)

[@FortBendTutoring]

+manw3bttcks You could, but most understand long division already.

[@gersongerson92]

thank you very much sir!

[@FortBendTutoring]

Thanks for the advice!

[@enriquediaz6306]

What is the square root of i?

[@YukiTsukari]

-1

[@FortBendTutoring]

The fourth root of -1?

[@eugenelim9737]

god bless you homie

[@FortBendTutoring]

Thanks Eugene! Happy 2 help!

[@ull893]

Just like that.Like a boss !

[@FortBendTutoring]

:-)

[@juniorvazquez7988]

You are a wonderful teacher. Thank you so much for sharing your knowledge with students :)

[@FortBendTutoring]

You're welcome! Thanks 4 watching! I appreciate it!

[@mr.randomguy8359]

In number 7a., can't you just cancel out the "i"s?

[@FortBendTutoring]

No, every element would have to be divisible by i.

[@spenserprice4177]

Prof. Whitt, I'm working on my teacher exam can you give some method on this exam highly appreciated

[@FortBendTutoring]

This may have some problems to help prepare you: kzbin.info/www/bejne/gHzKo5p6gNh-e6M

[@stevethompson7613]

How do you solve (sqrt-75)^3? I did the following (sqrt 75i^2)^3, then broke 75 down into (sqrt 25 x 3 i^2)^3, which gave me (5 sqrt3 i)^3. And here is where I got confused

[@FortBendTutoring]

You’re on the right track! Cube each part from here. You’ll then need to simplify your result.

[@stevethompson7613]

Figured it out........thanks so much for your help. I watch your videos pretty much 7 days a week. You’re awesome......you should consider scribing a math book. They would sale like hot cakes. Most math text books aren’t written very well. I would pay to have all your notes in a pdf format.

[@FortBendTutoring]

That’s a great idea Steve! Check this out: shop.tutormemath.net/

[@trkingdavid4943]

well explained

[@FortBendTutoring]

Thanks 4 the feedback! 👨🏾‍🏫😀

[@musukaasau5963]

very intresting teach style....

[@FortBendTutoring]

+Musuka Asau Very interesting comment....

[@leslielin3972]

very interesting answer....

[@FortBendTutoring]

Very interesting reply...

[@leslielin3972]

lol

[@artmorina01]

Thank you sir :)

[@FortBendTutoring]

+Art Morina You're extremely welcome Art! Thanks 4 watching!

[@diamondwilkins2989]

Why do you use four

[@FortBendTutoring]

Four is the number of terms in the sequence before it repeats [i, -1, -i, 1].

[@paulio2498]

I love problem 4a!

[@FortBendTutoring]

+Paul Green I love it 2 Paul! :-)

[@HarrisRuslan]

can you give harder questions?

[@FortBendTutoring]

Yes! Setup a paid tutorial at www.TutorMeMath.net.

[@majhoool100]

thank you

[@FortBendTutoring]

You're welcome!

[@usgaming5193]

Fucking goood shit brotha, taking a important math test today and u are very to the point and easy to understand, thank you ! :0

[@FortBendTutoring]

Happy 2 help! Good luck on your test!

[@gregl2249]

pls solve some problems adding and subtracting radicals and imaginary numbers---for ex.the (sq root of 2 minus one )^2 THANK U AND JUST WANT TO SAY I LOVE THIS SITE AND HAV SUBSCRIBED ALREADY---U REALLY HAV A GIFT OF EXPLAINING EVERYTHNG WELL ( I am an adult returning to college)-oh , and I have the answer to the above expression but do not know how to solve---the solution is 1-2sqrt2i

[@FortBendTutoring]

Ok, we'll add those types of problems to the list of "videos to do". In the meantime, the concepts taught in our "Adding Radicals", "Subtracting Radicals", "Multiplying Radicals" as well as this video is all that is needed to solve problems such as this.

[@staceyreid5054]

"ladies and gentlemen" hahahhaha but hey u helped a lot

[@FortBendTutoring]

+Stacey Reid lol Happy 2 help!

[@fazalmabood791]

thnx sir i got a lot f points

[@FortBendTutoring]

Thanks 4 watching Fazal!

[@aaronsharna2924]

Great

[@FortBendTutoring]

+Aaron Sharna Thanks Aaron!

[@salam1764]

Learning a lot from you, thank you, but you need to slow down lol.

[@xae-u8k]

I love you^i

[@FortBendTutoring]

+Isaiah Lopez :-) i love you 2!

[@staceyreid5054]

how i wish u are my teacher -_-

[@marquitos461]

this guy has a waiter voice

[@FortBendTutoring]

Thanks Marquitos! You’ve been served! 🤣

[@DinoMark74]

Thank you