01 - Simplify Square Roots with Factor Trees in Algebra (Radical Expressions), Part 1

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  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 530

  • @JCHP81
    @JCHP81 4 роки тому +264

    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

    • @MathAndScience
      @MathAndScience  4 роки тому +67

      You are very welcome. And yes it’s borderline criminal to go over this material in such a short amount of time. It basically makes makes it impossible to absorb the information.

    • @B_Evo
      @B_Evo 2 роки тому +14

      I can relate to your comment Juan. Only later in my life after doing Maths and computing at uni....and struggling...but then actually working out what worked for ME...do I now love math! Ive now been a math and computing teacher for 20+ years but honestly...whilst I love math, its not always been easy as it is for some people. Thus...I strongly encourage all my pupils to make sure they show HOW their steps to a solution...it really helps them 'get it' then!... btw, my favorite math areas these days are Algebra and Calculas...but I really like Quadratic stuff too!

    • @felistusphiri-dd8rv
      @felistusphiri-dd8rv Рік тому +1

      Thank you. The video has helped me

    • @yoliirizarry5643
      @yoliirizarry5643 Рік тому +1

      Excellent explanation executed perfectly. Thank you so much!!❤

    • @glenwardgross366
      @glenwardgross366 Рік тому +1

      It is because they don't even know how their selves. When you go to college and you are smarter then the professor. I took all my college math classes on VHS tape in one semester. How do you know your order of math operation. If you know it as PEMDAS then I have a better way.

  • @everettharry8789
    @everettharry8789 14 днів тому +1

    Never really understood square root until I got to this video. Now wants me to learn math and physics all over again. I wish I could get a teacher like this one. It is such a pleasure and so much fun when you understand what you are doing. Thank you. Really appreciate what you are doing.

  • @claireF-14D
    @claireF-14D Рік тому +38

    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.

    • @adelawilliam1094
      @adelawilliam1094 Рік тому

      Thank you very much sir ,for good explanation about mathematics,

  • @lilboiUK
    @lilboiUK 3 роки тому +20

    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! :)

  • @j_jones_
    @j_jones_ 3 роки тому +112

    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.

    • @phutureproof
      @phutureproof 3 роки тому +8

      Im 38 and I find this channel absolutely amazing!
      I never did very well with math until I started coding web applications quite a while ago.. 15 years ago maybe more (oh man how time flies) anyway Im trying to get into game dev for personal enjoyment and my maths sucks! This channel is a blessing!

    • @konglives4453
      @konglives4453 3 роки тому +4

      @@phutureproof Same here and I'm 52 ! I never went beyond intermediate algebra. I felt intimidated by algrebra, geometry, etc. and so took Business Math and Accounting in H.S. to meet my math requirements. Now that I'm older, I enjoy math more and have more patience to learn it.

    • @hartsgrace1205
      @hartsgrace1205 3 роки тому +4

      I concur my friend. Im 32 and bribed my way to a high school diploma. I learned how to get in trouble in school and that's it. Now I'm back to the drawing board (white board) definitely grateful

    • @johnfreewalt8425
      @johnfreewalt8425 3 роки тому

      Ooo I o. I ioo

    • @chidiasuke3386
      @chidiasuke3386 Рік тому +2

      Wow great job 👏👍👏👍👏

  • @justinpullen1472
    @justinpullen1472 2 роки тому +4

    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 :)

  • @georgeholzman6967
    @georgeholzman6967 3 роки тому +10

    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.

  • @rauldempaire5330
    @rauldempaire5330 4 роки тому +7

    What a difference a good teacher makes!

  • @RR-jx4fs
    @RR-jx4fs 5 років тому +50

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

  • @borowczyk76
    @borowczyk76 3 роки тому +30

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

  • @Jobanuwu
    @Jobanuwu 2 роки тому +14

    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.

  • @abdesay3772
    @abdesay3772 4 роки тому +11

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

  • @jamesb5799
    @jamesb5799 4 роки тому +8

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

  • @lyasweetheart
    @lyasweetheart 4 роки тому +112

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

    • @cvijayshree
      @cvijayshree 4 роки тому

      Lol

    • @jaysonbourne8841
      @jaysonbourne8841 4 роки тому +2

      Yo all 63 dislikes must be accidental

    • @iyaz_
      @iyaz_ 4 роки тому +2

      @Jayson Bourne More like all of the people that disliked are teachers lol

    • @alhassaniddrisu6124
      @alhassaniddrisu6124 4 роки тому

      was

    • @EyosiT
      @EyosiT 4 роки тому

      Ftfgfggffgggfgfgggfffffgfffuyegghfgfgf

  • @weeredvixen8033
    @weeredvixen8033 2 роки тому +5

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

  • @drayhogg53
    @drayhogg53 2 роки тому +3

    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.

  • @ikamaulizan3894
    @ikamaulizan3894 3 роки тому +5

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

  • @daeshandarosa6297
    @daeshandarosa6297 4 роки тому +9

    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

  • @Ex0_Fl4kes
    @Ex0_Fl4kes Рік тому +2

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

  • @eciruamttenrub5523
    @eciruamttenrub5523 2 роки тому +8

    What a great teacher!

  • @TheCarabailey
    @TheCarabailey 3 роки тому +6

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

  • @kirkdsnyder3844
    @kirkdsnyder3844 2 роки тому +2

    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 UA-cam vids. Thank you very much!

  • @jonathanmachado4790
    @jonathanmachado4790 Рік тому +1

    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 👑

  • @okbutwhy2506
    @okbutwhy2506 3 роки тому +8

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

  • @joyunday1167
    @joyunday1167 4 роки тому +11

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

    • @KENMATH
      @KENMATH 4 роки тому

      Follow me on my channel (Math puzzle &is 1+1=3) a lot more coming ahead
      ua-cam.com/video/l-voGCM35PM/v-deo.html
      ua-cam.com/video/XjWIzD10Ox4/v-deo.html

    • @ruthjulian9908
      @ruthjulian9908 2 роки тому

      Hi

  • @susanthursdays5008
    @susanthursdays5008 4 роки тому +2

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

  • @collinmoropa7938
    @collinmoropa7938 3 роки тому +11

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

  • @TexasDesert3523
    @TexasDesert3523 2 роки тому +2

    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.

  • @ApexMark2002
    @ApexMark2002 4 роки тому +5

    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."

  • @eccentricorgan
    @eccentricorgan 5 років тому +77

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

  • @seahorse5689
    @seahorse5689 3 роки тому +15

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

  • @curioussteve
    @curioussteve 4 роки тому +4

    GOOD JOB YOU DESERVE AN AWARD.

  • @TITOFROG1
    @TITOFROG1 3 роки тому +5

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

  • @nicoletassin7307
    @nicoletassin7307 Рік тому

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

  • @jchrg2336
    @jchrg2336 4 роки тому +29

    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

  • @سمية-غ4ب
    @سمية-غ4ب 3 роки тому +1

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

  • @gadgetsmall6103
    @gadgetsmall6103 4 роки тому +5

    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.

  • @alexgrant2931
    @alexgrant2931 3 роки тому +2

    This teacher is excellent!

  • @stevesteve7175
    @stevesteve7175 3 роки тому +4

    Great teacher. He makes it so simple.

  • @humbledcomposer
    @humbledcomposer Рік тому +1

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

  • @joanmelnick1704
    @joanmelnick1704 3 роки тому +8

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

  • @x-tremeadi1110
    @x-tremeadi1110 3 роки тому +1

    You are the best teacher i have ever seen

  • @queenroyalty3907
    @queenroyalty3907 4 роки тому +8

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

  • @gregorykotoch5045
    @gregorykotoch5045 Рік тому +1

    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.

  • @thandekazirema4508
    @thandekazirema4508 4 роки тому +6

    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

  • @Ruvana
    @Ruvana 4 роки тому +8

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

  • @eliagolia1
    @eliagolia1 4 роки тому +3

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

  • @emmanuelagwu6730
    @emmanuelagwu6730 2 роки тому +6

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

  • @erinekim
    @erinekim 4 роки тому +3

    You’re a great teacher!!

  • @cherylglaze8706
    @cherylglaze8706 4 роки тому +6

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

  • @thoughtfully
    @thoughtfully 3 роки тому +7

    I never did get this until now. Thank you.

  • @ndinelaoshaanyenange9834
    @ndinelaoshaanyenange9834 3 роки тому +2

    Wow! I adore your teaching so much

  • @tammyschilling5362
    @tammyschilling5362 4 роки тому +3

    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.

  • @elladuarte8469
    @elladuarte8469 3 роки тому +7

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

  • @juratejurate1940
    @juratejurate1940 4 роки тому +6

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

  • @xelaju8
    @xelaju8 4 роки тому +4

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

    • @KENMATH
      @KENMATH 4 роки тому

      Follow me on my channel (Math puzzle &is 1+1=3) a lot more coming ahead
      ua-cam.com/video/l-voGCM35PM/v-deo.html
      ua-cam.com/video/XjWIzD10Ox4/v-deo.html

  • @roguishowl3915
    @roguishowl3915 3 роки тому +5

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

  • @franklozano5037
    @franklozano5037 4 роки тому +10

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

  • @ronyon2791
    @ronyon2791 4 роки тому +3

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

  • @Little.Flowerbloom
    @Little.Flowerbloom 2 роки тому +1

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

  • @criseastman6503
    @criseastman6503 3 роки тому +2

    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!

  • @cathydodds-bully6288
    @cathydodds-bully6288 4 роки тому +8

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

  • @llkingproductionsl2154
    @llkingproductionsl2154 4 роки тому +20

    It feels like an actual class

    • @etnub
      @etnub 3 роки тому

      True

  • @taylormedia1000
    @taylormedia1000 2 роки тому +1

    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

  • @chelseawillis9259
    @chelseawillis9259 4 роки тому +3

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

    • @mariedelsoin2195
      @mariedelsoin2195 3 роки тому

      thank you for teaching and you are a great teacher

  • @amuko8563
    @amuko8563 Рік тому +1

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

  • @andreajimenez6601
    @andreajimenez6601 3 місяці тому +1

    My Favorite Math TEACHER THANK U SO MUCH FOR HELPING ME I UNDERSTAND it because of ur way of Teaching it in a Caring Way and U Know what ur talking I say Ur Gifted

  • @strikergamerz9780
    @strikergamerz9780 3 роки тому +1

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

  • @janiking265
    @janiking265 4 роки тому +3

    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

  • @rubeniamalone3810
    @rubeniamalone3810 3 роки тому +2

    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.

  • @sidneydesouza9575
    @sidneydesouza9575 3 роки тому +1

    Love it the light at the end.thank you.

  • @tariqmahmood6719
    @tariqmahmood6719 4 роки тому +1

    God blessed you. Excellent teacher

  • @intodacold
    @intodacold 4 роки тому

    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!

  • @jayvega2206
    @jayvega2206 3 роки тому +2

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

  • @shawnd.8498
    @shawnd.8498 2 роки тому +1

    Genius! I understand it perfectly.

  • @drobinson2694
    @drobinson2694 3 роки тому +2

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

  • @eldstgilmorbarboydodellatb4413
    @eldstgilmorbarboydodellatb4413 3 роки тому

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

  • @joycemeadows9837
    @joycemeadows9837 2 роки тому +1

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

  • @Mathefusions18
    @Mathefusions18 3 роки тому +1

    The explanation is precise. Great maths.

  • @nextblip
    @nextblip 4 роки тому +2

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

  • @thechaffers6393
    @thechaffers6393 4 роки тому +2

    Principle Square Root. Thanks for this!

  • @1sneakycat
    @1sneakycat 3 роки тому +2

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

  • @itzal6205
    @itzal6205 4 роки тому +8

    thank you for this explanation sooo HELPFUL! :)

    • @KENMATH
      @KENMATH 4 роки тому

      Follow me on my channel (Math puzzle &is 1+1=3) a lot more coming ahead
      ua-cam.com/video/l-voGCM35PM/v-deo.html
      ua-cam.com/video/XjWIzD10Ox4/v-deo.html

  • @frankelizalde9306
    @frankelizalde9306 3 роки тому +3

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

  • @anjumahamed5678
    @anjumahamed5678 Рік тому

    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.

  • @burntt999
    @burntt999 3 роки тому +1

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

  • @dayanaluna1411
    @dayanaluna1411 2 роки тому +1

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

  • @felixyongco1168
    @felixyongco1168 3 роки тому

    The best teacher. All very ,very very clear. Thank you sir.

  • @sarahkuhne2212
    @sarahkuhne2212 3 роки тому +4

    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💡

  • @kevinmosgo5492
    @kevinmosgo5492 Рік тому

    You are an absolutely incredible teacher!

  • @Ynkneodb133
    @Ynkneodb133 3 роки тому +1

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

  • @jyssicamiller5921
    @jyssicamiller5921 Рік тому

    this helps my child so much!! thank you!

  • @senhorinhadasilva7894
    @senhorinhadasilva7894 4 роки тому

    You are the best 🎄

  • @justanotherguy469
    @justanotherguy469 Рік тому

    Clear and concise is all I have to say.

  • @leyanahhowell5625
    @leyanahhowell5625 3 роки тому +1

    This really helped me get ready for school

  • @henryfayol6667
    @henryfayol6667 4 роки тому +2

    Clearly understood thank you so much

  • @donaldperry391
    @donaldperry391 4 роки тому +3

    WOW this was good!!!!

  • @mohammedhafiz3137
    @mohammedhafiz3137 10 місяців тому

    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

  • @asenciondivinagracia8248
    @asenciondivinagracia8248 4 роки тому

    Nice..sir...i love the way u explain

  • @raymondallenjhangiani7670
    @raymondallenjhangiani7670 4 роки тому +1

    Amazing ! Thank you 🙏