My professor went over this whole video in 5 minutes in class then moved on to more complex curriculum leaving me lost for the next 3 hours. I need the long form explanation like this video because I need the "why you need to do this" not just "how to do this" explanation to learn it. I love this format, thank you

Many of us were lost in high school math due to a rapid curriculum. Your method provides depth and understanding by repeating fundamentals. Thank you, sir.

Hey, man. I really appreciate you putting these videos out there. I’m 31 and I’ve always been discouraged by math until I found videos like this. Your channel with all of these other channels is like a modern day Library of Alexandria. So, thank you for all that you do to educate.

this guy is a great teacher . I have learned so much from him in a very short time, an i am 78 yrs old.I will have my grand kids watch and learn from him.

I'm 23 trying to learn math from the ground up. Been using khan academy so far and got stuck on this section and then I found this video. Thank you it helped so much! :)

I wish you were my math teacher when I was young. You broke it down by detail to detail. Thank you so much.

Sir i respect you a lot for making this video. My school and tusion teachers only explained this on the surface and i always wanted to understand what was going on behind the scene. They all explained just the steps, like they were reading from a script but you made sure to explain what your students really needed to know.

Having access to a teacher like you you is such a relief. I have to sit through a 4 hour online lecture every week wasting my time with a guy who simply does not know his stuff. Hopefully he will watch your videos :)

These are the absolutely best math videos on YT. Beautifully explained.

What a difference a good teacher makes!

That's what I can call a real maths teacher. Thank you

I have just went back to college after many years and I LOVE THIS INSTRUCTOR!!!!

It's absolutely new to me, I wonder in which grade was I suppose to learn this. Got it. 🙏 Mathematics made easy.

This man is a genius! I probably wouldn't be able to explain this to someone who doesn't know it in the same understandable way he did! Bless you! T-T

A massive heart felt thank you for taking the time to explain this fully and in depth.

Unbelievable... At the end of this Video, All of the equations made sense. Thank you!

You're far better than actual school. Thank you for sharing your knowledge.

I really love your teaching. It makes the lesson seem so easy. THANK YOU!

31:40 and 33:25. The square root of 10 squared equals the square root of 10 times the square root of 10, which equals the square root of 10x10, which equals 100. The square root of 100, then, equals 10. That's the algebraic reason why the two operations "totally disappear" and they "undo each other." I think that at the start it is important to write it all out long form so you can see the reason behind things, rather than skip ahead to "this undoes that," and "this cancels that" and so on. Because you can get in trouble quickly when things become more complex if you don't know the fundamental reason so you can recreate it. It's a nice video but a good professor will catch you out if you can't write it all out and know the precise reason (and also name the property which permits it, such as commutative, distributive etc.) rather than saying, "well professor it just..makes it go poof."

You are never too old to re-learn it again, or even come to new insights that actually work, haha...it's all about keeping calculating... We don't discover, we just document as humankind

What a great teacher!

Finding the square root using prime factors is the best way. it might take longer than other maths 'tricks', but it gives the full picture and it is easy to understand.

Thank you. I am 27 y/o studying for gmat and this rings the bell of what i’ve learnt during high school.

You're a good professor. You explain it clearly and we understand and could follow them. Thanks and need more Math illustrations like this.

Ive been wanting to find a concise and comprehensive ‘lesson’ on finding ‘square roots’, .. this came up. Bang! Does the job! Ty!!

i love the fact this dude just roasted the heck out of school textbooks.

You, sir, are an awesome teacher!! Wish I'd had you as a teacher in high school. :)

This definitely needs to have been taught in grade school, college, etc. This is making math fun.

My grand-daughter is getting into this in school. Time to brush up. This is an excellent format to bring it all back. Not only that but I find the course and format very enjoyable. I wish it was so much fun 50 years ago. Thank You for this excellent course.

This lesson was a "light bulb turning on" moment for me. THANK YOU!

This teacher is excellent!

I agree with Juan's comment below. I went through several videos of how to find the square root of a number and yours gave the best example, albeit some areas needed a bit more explanation as to 'why'. Furthermore, I did this to help my granddaughter and to show her how to look up information in KZfaq vids. Thank you very much!

best math video ever i dont even need a teacher anymore thank u so much

I never did get this until now. Thank you.

GOOD JOB YOU DESERVE AN AWARD.

You have made this so much easier for me.....THANK YOU!!!

Great for beginners and as a refresher! No extraneous talking....straight to the points! Thank you!

I learnt more in this video than 5 of my math teacher classes

You are just exceptional and incomparable sir . I esteem your great numerical prowess

For working factor tree, good practice is to find the largest number, OTHER than one, to start the tree work.

You are the best teacher i have ever seen

Great teacher. He makes it so simple.

Hello, thank you for your dedication and love for teaching. Appreciate all your lessons. Ty

Thank you sooooo much for making math soooo easy! I had a phobia to numbers until now! 🥰🥰

Spoken just like a true teacher, or someone that knows a subject so well that they forget what it's like to not know something. Example: WHAT DOES IT MEAN TO SQUARE A NUMBER? TO SQUARE A NUMBER, WE TAKE THAT NUMBER AND MULTIPLY IT BY ITSELF. FOR EXAMPLE, 5 TIMES 5 IS TWENTY-FIVE. TO UNSQUARE A NUMBER OR FIND THE SQUARE ROOT OF A NUMBER IS TO DO THE OPPOSITE

Sir! you have the great gift of teaching! thanks!

I needed to brush up on this. Your video was both easy to look at (in terms of visual clutter and organization and lighting) as well as clearly explained. Thank you.

Wow! I adore your teaching so much

I love the lesson. ..the topic was giving e a headache but after ive watched this I feel its much easier than I could imagine .....5 stars

I always love math but I have forgotten bec. I don't use it. This is fun just to review math or learn it the first time. Great teacher.

i absolutely can't thank you enough for this. I'm in college 10 years later taking college algebra and was lost in the sauce until this video. actually, breaking it down step by step it's clicking in my head. you dropped this king 👑

Very helpful.....great explanation!!!! Thanks

Sir your technique is brilliant god bless you have a good day I even didn't look it math but after watch yours video I am now capable to solve different equation life changing moment for me Sir thank you very much

Genius! I understand it perfectly.

You’re a great teacher!!

It feels like an actual class

Thank you this is what I was looking for. Excellent video lesson.

Best of the best ‼️Thanks for your amazing videos and amazing teaching ‼️

thank you, this was helpful as I am homeschool my son, I have a better understanding of radicals and radicands

I have always had trouble factoring trees in the past until this guy's presentation. I now factor any number without having to think about it too hard because this dude is a factoring gawd!

I love your videos. I didn’t understood what’s a square root, but after this video I understood what’s it… thank you

My second lesson of the day. Very interesting. Thank you.

Out of all the videos I watched this is the one that helped me.. Thank you so much!😉

Principle Square Root. Thanks for this!

it's so easy to understand. a very good teacher indeed !

I like your caveats, regarding the existence of imaginary numbers, so that the student maintains an open mind, regarding the limitation to the present work; e.g. the words: imaginary, not real vs. no answer.

Thank you for breaking it down. I was stuck and now this makes perfect sense.

I wish I would have had a teacher like this man growing up!!!

Just like the other subjects videos, well indepth explanation of why and how, the small details is what makes the difference. Thank you so much

💚💚💚💚 bookmark/ notes : 03:50 💵💴📈(🗓🧮💱⚗️🗺🛣🌉) 17:20 big chimney on those square roots 😋( factors 🐶) …..ect…..tbc…..-g-b, bot

Seriously thank you so much!! My videos for my algebra class did not explain this well and FINALLY found a KZfaq video that helped!! Please keep posting!! Will definitely be back to look for more videos!! :) :)

omg thank you!! had a light bulb moment! you're brilliant!!

Watching these video's and 'getting it' makes me regretful that I didn't care or apply myself in school. I always just thought I was a lost cause. Having the right mindset is equally as important as having the right teacher.

Thank you,your videos helped me save face when my grade 6 daughter came to me with this square root problem

THANK YOU Professor!! I'm going back for another degree in college; my first degree required Business Math which I passed. This next degree I'm wanting to earn requires Algebra and perhaps Calculus. In high-school I couldn't concentrate in algebra because of having PTSD. I passed with C's but it required summer school every time. I've watched three of your videos and you're a very good teacher. Again, thank you for your time and effort in making these videos. I have more confidence that I will do better in college algebra now that I've found your channel.

God blessed you. Excellent teacher

This really helped me get ready for school

I just started grade 6 and knew nothing about square roots at all, this guy made this chap look so easy, thankyou so much 💞💞

For sq root -36, why stop factor tree at 6 . -6? You could have pairs of 2 or three. Either 3.2.2.-3 which has a pair of 2s for 2.sq rt -9 or you could have 2.3.3.-2, which has a pair of 3s for 3.sq rt -4. There's still no real answer but it's reduced two ways.

I have also leaned about orphaned number as well. Thank you again :-) m a fan of yours.

Thank you so much. I was having trouble understanding how to find the square root of a big number or an irrational number. This helped me so much💡

Thank you for this video! I really understood what you said

Great video. Learned more on this video than I ever learned in school.

this was just great. thank you.. helped me out a lot

This was an amazingly useful lesson. Sir, you are a lifesaver But. with no disrespect, intended, did anyone else get Princess Bride vibe when he was doing the bit about the square root of -4? I half expected the it to go "So Clearly I cannot chose -2! Truly your logic is dizzying. Wait 'til I get started! Where was I? The square root of -4?" It made me laugh and relieved some of my math anxiety, so thank you again!

this helps my child so much!! thank you!

thank you for this explanation sooo HELPFUL! :)

I LOVE YOUR TEACHING it is optimal and commendable

This was so helpful. I shared it with my classmates!

Thanks I’m only 65 yrs old I’m getting it for brain exercise.

So very glad to have stumbled on this . I have been trying to teach my 6yr old .This method is absolutely perfect.Thank you Sir.

Love it the light at the end.thank you.

Dude is the David Malan of Math. World Class education style. thank you.❤

I like your teaching. You explained very well. Very good teacher.

Clearly understood thank you so much

At 31:56 , the way how I proved my answer was different. I took the pair of 2s then multiplied them together to = 4 then i did 4*2=8 then finally 8*5= 40, practically saying 2²*2*5 = 40. I also checked my answer for the problems prior to the one you talked about in the timestamp by multiplying the pair of 2s which = 4 then did 4⁴ to equal 256. Then taking the pair of 5s & 3s to get 25*9 = 225. My method seems pretty full-proof to me (im still a student though)

Thank you very much i can understand now totally worth watching this whole 42 min lesson👍

I cannot thank you more than enough sir

Thank you so much Sir, from Philippines You are a big help for my self review for NMAT exam.

I guess he's the only person that didn't make me sleep👊🏻