Surds (Part 5) Rationalising the Denominator 1 - 10 Minute Maths Series | GCSE Maths Tutor

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  • เผยแพร่เมื่อ 9 ม.ค. 2025

ความคิดเห็น • 150

  • @9I09I90
    @9I09I90 3 ปีที่แล้ว +282

    i binge watched your channel during lockdown and i went from a grade 5-6 to a grade 9 and I've been accepted into one of the best sixth forms in London - thank you, absolute legend

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +81

      Wow! That’s so amazing to hear!! Congratulations for putting the hard work in, that’s all on you, incredible achievement 👏🏼👏🏼👏🏼

    • @skykingtenz1232
      @skykingtenz1232 3 ปีที่แล้ว +21

      What sixth form did you get into. Coz I live in London and I wanna know what's good

    • @yagizbaran4850
      @yagizbaran4850 3 ปีที่แล้ว +5

      Napıyon lan hangi okuldasın

    • @soso_2558
      @soso_2558 3 ปีที่แล้ว +13

      @@skykingtenz1232 I guess we'll never know

    • @skykingtenz1232
      @skykingtenz1232 3 ปีที่แล้ว +10

      @@soso_2558 yes indeed

  • @sanvisharma8993
    @sanvisharma8993 2 ปีที่แล้ว +26

    I absolutely love your videos. My maths teacher cant teach to save her life, so watching your videos helped me a lot.- your a legend THANK YOU

  • @soso_2558
    @soso_2558 3 ปีที่แล้ว +25

    I'm binge watching all your videos before my mocks 🤪

  • @lilywrites4357
    @lilywrites4357 4 ปีที่แล้ว +17

    your videos really help me a lot...
    IGCSE student here.
    THANKU SO MUCH!

  • @MegaBanannaman
    @MegaBanannaman 2 ปีที่แล้ว +14

    This video is definitely NOT abSURD! Thanks for the great tuition.

  • @JassyKaur-gc1he
    @JassyKaur-gc1he 8 หลายเดือนก่อน +9

    Hey I love you so much I have my gcse paper 1 tommorrow and I lm at a 5 and really want a 7 with your vids binging them this whole night I think it’s actually possible THANKYOU SM your channels really helpful I just came across it today WISH I KNEW THIS CHANNEL EARLIER I REGRET IT AHH

    • @reemabaroom
      @reemabaroom 7 หลายเดือนก่อน

      how was ur exam? :)

  • @Rafmee
    @Rafmee 4 ปีที่แล้ว +35

    11:48 For this part, wouldn't the fraction be 5 over root 5 because root 5 times root 5 = 5, not root 5? I don't understand that part :')

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +34

      The root 5 does become root 5, but the fraction on the bottom you would only multiply the numerator, the same as any fraction such as 1/5 x 2 becomes 2/5 😁🙏🏼🙏🏼

    • @salahdiinali7755
      @salahdiinali7755 3 ปีที่แล้ว +6

      @@TheGCSEMathsTutor cap

    • @kawlanonya833
      @kawlanonya833 3 ปีที่แล้ว +5

      @@TheGCSEMathsTutor oooohhh I get it thanks- I was confused on that part too

    • @shahwayway
      @shahwayway 3 ปีที่แล้ว +5

      @@TheGCSEMathsTutor I was confused as well, thank you so much

    • @gamingjonsa5636
      @gamingjonsa5636 9 หลายเดือนก่อน

      i still dont get it💀 my brain stopped working after doing the december mocks🙂

  • @spytex5268
    @spytex5268 ปีที่แล้ว +3

    Sir ur acctually the goat i cant attend school and learning all my gcses by myself hopefully i can achieve high marks very helpful x

    • @SmallGuyFrank
      @SmallGuyFrank 9 หลายเดือนก่อน

      how did they go?

    • @yukislife572
      @yukislife572 6 หลายเดือนก่อน

      @@SmallGuyFrank they never respond

    • @SmallGuyFrank
      @SmallGuyFrank 5 หลายเดือนก่อน

      @@yukislife572 fr they just disappear

    • @yukislife572
      @yukislife572 5 หลายเดือนก่อน

      @@SmallGuyFrank fr r u in yr 10 any chance?

    • @SmallGuyFrank
      @SmallGuyFrank 5 หลายเดือนก่อน

      @@yukislife572 nah Y11 just left, going into sixth form in September

  • @omeegga
    @omeegga 6 หลายเดือนก่อน +9

    I love you (but not in a romantic way more like the love that someone feels for someone after they have been helped in a time of need or desperation. You see im in a time of need/ desperation because i have a test soon and i need a form of revision so finding yours has helped a lot, this makes me appreciate you to great levels causing me to say that i love you. However, just because I've said that i love you and i've elaborated how this feeling comes from a temporary helping hand that you've lent, does not mean that my appreciation levels for you would decrease after I no longer require your helping hand. Of course i will always appreciate the help you have provided and even if i don't necessarily need it at the moment does not mean i would lose any value towards you overtime)

    • @Trixsti
      @Trixsti 5 หลายเดือนก่อน +2

      The most grateful comment I've seen my entire life of living in this world, this is a whole page worth of words

  • @fuadsalah8286
    @fuadsalah8286 2 ปีที่แล้ว +2

    Freesciencelessons of maths!tysm you legends

  • @hettysinclair9393
    @hettysinclair9393 3 ปีที่แล้ว +7

    You are saving my exams today thank you sir!!!!

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 3 ปีที่แล้ว +9

    Really well explained sir great job!! I find this channel a god send really helpful!!

  • @infires_mochi6476
    @infires_mochi6476 2 ปีที่แล้ว

    U are my real maths teacher!

  • @speedyracer-x4q
    @speedyracer-x4q 3 ปีที่แล้ว +4

    @gcse maths tutor, bro on 10:30 why are we not multiplying top and bottom by 2 underoot 2

  • @NajwaQazikhil
    @NajwaQazikhil หลายเดือนก่อน +1

    9:35 i dont get why you dont simplify the fraction, wouldnt it be square root 5?

  • @daniellechad5748
    @daniellechad5748 5 ปีที่แล้ว +17

    so so helpful please do a series on graphs !

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  5 ปีที่แล้ว +3

      Danielle Chad Thanks!! You can find the coordinate geometry series here: Coordinate Geometry - Perpendicular Lines | Part 2 | Grade 7-9 Maths Series | GCSE Maths Tutor th-cam.com/video/Oe3kXsk3VWw/w-d-xo.html 😁

  • @jeoffharding6345
    @jeoffharding6345 4 ปีที่แล้ว +10

    Brilliant work here!! made me understand surds finally

  • @teatoktime9714
    @teatoktime9714 3 ปีที่แล้ว +1

    You are the best maths tutor thank you for this

  • @saaavhouston
    @saaavhouston 10 หลายเดือนก่อน +1

    I am a mature student and whilst I had a relatively good grade in Mathematics, I needed to meet minimum entry requirements for my Medicine offer which requires an A. I self-studied from scratch and gained a grade 9. I am due to start Medicine at Bristol University this September. Thank you so much for the effort you put into these videos. They are phenomenal!

    • @nidalcommentator478
      @nidalcommentator478 9 หลายเดือนก่อน

      hey topics would u recommend are crucial on this channel especially since GCSE are right around the corner ?

  • @bsdpowa
    @bsdpowa 9 หลายเดือนก่อน

    12:25 what is the rule called here? you multiplied 1/SR5 by SR5 and got SR5/SR5 which equals 1 and so denominator is 1 + 5 = 6. But fraction 1/SR5 can also be written as 5^-1/2 in which case the denominator would be 5^-1/2 + 5. How do I know which way is the correct way?

  • @MarissaCohen-s4t
    @MarissaCohen-s4t 11 หลายเดือนก่อน

    This has been helping me so much, thank you so much

  • @skykingtenz1232
    @skykingtenz1232 3 ปีที่แล้ว +4

    Great video like always

  • @tiktok-ul8pv
    @tiktok-ul8pv 2 ปีที่แล้ว +3

    12:00 why isn’t 1/root5 times root5 not happening on both the numerator and the denominator I’m confused btw great videos

  • @ikemuoma8495
    @ikemuoma8495 3 ปีที่แล้ว +2

    These videos are awesome!!,,

  • @anthonygear3290
    @anthonygear3290 ปีที่แล้ว +1

    Ur bringing me up to a grade 9 for sure bro

  • @elishamallinson6785
    @elishamallinson6785 8 หลายเดือนก่อน +2

    Why is it called Rationalising? What is Rationalising? Which bit is the Rationalising bit?

  • @l._.l07
    @l._.l07 3 ปีที่แล้ว +3

    istg i need to pay this man or something because my future is brighter bcs of him

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +2

      No need to pay me! Knowing I’ve helped is plenty 😁🙏🏼🙏🏼

  • @Sophia-ur1nb
    @Sophia-ur1nb 5 ปีที่แล้ว +5

    Very helpful!😊👍

  • @paroexe3220
    @paroexe3220 3 ปีที่แล้ว +5

    my GCSE maths is today, going in to it with this, I'll toss a thanks your way if I do well :D

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 4 ปีที่แล้ว +2

    Good video sir good job sir. Top work sir.

  • @aamaalechrish1439
    @aamaalechrish1439 2 ปีที่แล้ว +1

    thank u very much sir your videos are always useful and helpful

  • @zainailyas8335
    @zainailyas8335 2 ปีที่แล้ว +2

    so so helpful thank you so much ❤❤

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว

      No problem at all! Glad to hear the channel is helping!

  • @umarbashir5908
    @umarbashir5908 11 หลายเดือนก่อน

    At 11:46 did you mean to say you multiply it by the numerator ?

  • @crsilvajrr970
    @crsilvajrr970 2 ปีที่แล้ว +1

    for the last type of question could you switch the symbol on the denominator and then itd rationalise more simply?

  • @ryanaraujo-k7p
    @ryanaraujo-k7p ปีที่แล้ว +1

    great video

  • @APS378
    @APS378 7 หลายเดือนก่อน +1

    12:09 I thought root 5 multiplied by root 5 would just be 5 not root 5

    • @Trixsti
      @Trixsti 5 หลายเดือนก่อน

      No, think of it like this 3/2×10=30/2 basically what just happened here is that the two didn't change because there is an invisible 1, get it? I explained it the foundation way now you use this for the square root 5 and you may be asking why are there different ways he does it well the main questions are when u try to even it out and when you try to times a fraction tou do what I explained get it?

  • @TahsinRahman-hl9zh
    @TahsinRahman-hl9zh 3 หลายเดือนก่อน

    4:59 in that question can u not just multiply by root 2 cause then it becomes 8 root 16 whixh is 8×4=32

  • @5kinz
    @5kinz ปีที่แล้ว

    around 11:45 i think he meant to say numerator if theres any confusion

  • @akshayblox7028
    @akshayblox7028 ปีที่แล้ว

    Thank you so much you absolute legend

  • @regantwigge7341
    @regantwigge7341 2 ปีที่แล้ว +1

    At 12:37 on the fraction you didn’t multiply the denominator by root 5?

    • @Trixsti
      @Trixsti 5 หลายเดือนก่อน

      No, think of it like this 3/2×10=30/2 basically what just happened here is that the two didn't change because there is an invisible 1, get it? I explained it the foundation way now you use this for the square root 5 and you may be asking why are there different ways he does it well the main questions are when u try to even it out and when you try to times a fraction tou do what I explained get it?

  • @fatimamohamed7893
    @fatimamohamed7893 3 ปีที่แล้ว +1

    at 9:33 can't it be simplified further to become: √5? (the 5 will be moved to become 5√5 over 5then both 5"s in the numerator and denominator will be divided). thus can the answer be √5?
    pls reply fast i have a math test soon

    • @salahdiinali7755
      @salahdiinali7755 3 ปีที่แล้ว

      lol

    • @diysisters2185
      @diysisters2185 3 ปีที่แล้ว +1

      hey u probably dont need it now but thats wrong because only the 5 divides not the root 5. i thought that as well its because the other one the 5 times by the root but this one is added not multiplied. sorry for my bad explanation lmao

  • @maryamusman8489
    @maryamusman8489 2 ปีที่แล้ว

    so helpful i swear

  • @jamesbrown9540
    @jamesbrown9540 3 ปีที่แล้ว +1

    On 9:34 why wouldnt you do 5/5 = 1 so the answer would be \sqrt{ 5}

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว

      Because there isn’t a factor of 5 in the numerator unfortunately! Both parts on the numerator would have to divide by 5 to allow this 😭🙏🏼🙏🏼

  • @muskandevkota497
    @muskandevkota497 3 ปีที่แล้ว

    You’re amazing !!!!!!!

  • @vibhakumar7743
    @vibhakumar7743 3 ปีที่แล้ว +5

    at 10.31, for the final answer, why can we not simplify 2 (numerator) and 4 (denomenator) to 1 and 2 respectively?
    @the GCSE math tutor

  • @mathsmeadow5106
    @mathsmeadow5106 5 ปีที่แล้ว +3

    Helpful

  • @littleh8321
    @littleh8321 5 ปีที่แล้ว +4

    On last question why isn’t the first number on second row 3??

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  5 ปีที่แล้ว

      Little H Not entirely sure what you’re asking. On the denominator?

    • @euphoriaggaminghd
      @euphoriaggaminghd 4 ปีที่แล้ว +3

      @@TheGCSEMathsTutor aired

  • @1My3My9
    @1My3My9 2 ปีที่แล้ว +2

    The part I don't get sometimes is what to multiple it by.. lets say the denominator is √3 to rationalise this do I multiply by √3 or - √3 because I get confused since some people say you have to change the sign of the root then multiply it but obviously in this video you didn't do that so now I'm baffled. Hopefully this wasn't confusing I hope you reply please

    • @Sl-ce1qs
      @Sl-ce1qs ปีที่แล้ว

      ig its too late but ill explain it in case someone has the same concern as you,
      if 1/√a then multiply both nominator and denominator by √a and don't change signs
      if 1/a +- √b then multiply both nominator and denominator by the conjugate of the denominator =>
      e.g;
      4/(3-√5)
      (4 (3+√5)) / ((3-√5)(3+√5))
      => (12 + 4√5 )/ (9- 3√5+ 3√5- 5) = 4 (3 + √5) / 4
      = 3+√5

    • @1My3My9
      @1My3My9 ปีที่แล้ว +1

      @@Sl-ce1qs bro its fine I am in year 13 now doing alevel maths I understand it now :D

  • @EmilyHenshaw-r9y
    @EmilyHenshaw-r9y ปีที่แล้ว +1

    could someone explain the last questions he did? he was rationalising but in the example he did he multiplied both the top and bottom by root5 so wouldnt the 1/root5 turn into root5/5? as a root multiplied by itself is just that as a whole number. would appreciate an explanation thank you.

    • @Trixsti
      @Trixsti 5 หลายเดือนก่อน

      It's a whole number cuz like he said anything divided itself is always 1

  • @mathsmeadow5106
    @mathsmeadow5106 5 ปีที่แล้ว +3

    I want videos about elevation and graphs please

  • @mujz9608
    @mujz9608 ปีที่แล้ว +1

    thanks a lot

  • @finhask9
    @finhask9 2 ปีที่แล้ว

    SO HELPFULLL

  • @N2goated
    @N2goated 4 วันที่ผ่านมา

    3:56 isn’t root 8* root 8 =8? Why is it root 64

  • @tealisbored
    @tealisbored 2 หลายเดือนก่อน

    11:51 i dont get htis bit? how is it root 5 over root 5

    • @tealisbored
      @tealisbored 2 หลายเดือนก่อน

      Oh wait nvm i get it now

    • @lovelvtion
      @lovelvtion 2 หลายเดือนก่อน

      @@tealisbored i dont pls explain

    • @lovelvtion
      @lovelvtion 2 หลายเดือนก่อน

      wait nvm

    • @tealisbored
      @tealisbored 2 หลายเดือนก่อน

      omg hi :) ​@@lovelvtion

  • @abdullahadnan7288
    @abdullahadnan7288 2 ปีที่แล้ว

    On the last question if I write the answer as root 3 over 1 in an exam is it still right

  • @gree_no
    @gree_no 2 ปีที่แล้ว

    amazing thank you alot, sir

  • @MC10W
    @MC10W 2 ปีที่แล้ว

    Thank you. Please do the summer 2022 Edexcel igcse 9-1 MATHS A PAPERS 1 HR AND 2HR HIGHER TIER PLEASE. THANKS.

  • @H1289-h8o
    @H1289-h8o 4 ปีที่แล้ว +1

    Thanks

  • @Smixx0
    @Smixx0 2 ปีที่แล้ว

    How many marks would these questions roughly be??

  • @daisywrathall6192
    @daisywrathall6192 2 ปีที่แล้ว +1

    what about when there is a surd on the top and bottom?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว

      See the next videos on the series 😁🙏🏼

  • @darnellbailey5038
    @darnellbailey5038 3 ปีที่แล้ว

    Thank youu😁

  • @zerofyseGaming
    @zerofyseGaming 7 หลายเดือนก่อน +1

    yayaya
    thx so much

  • @el_falco_1000G
    @el_falco_1000G 11 หลายเดือนก่อน

    Very helpfull

  • @tobiashunt1170
    @tobiashunt1170 3 ปีที่แล้ว

    Thank you

  • @olaalfatih6774
    @olaalfatih6774 2 ปีที่แล้ว

    amazing

  • @harry011984
    @harry011984 ปีที่แล้ว

    I don't understand. Any surd in the denominator with a number, you seem to just multiply the surd by the surd and not the number.
    For example: (3-√2)√2 becomes 3√2-2 but for the denominator (2√2)√2, you're getting 2*2. How? Surely 2*√2 just becomes 2√2 again?
    I've followed all the other steps that make sense but I cannot understand this. I understand that √x*√x becomes X but here you are also multiplying the number by √x. It seems that I am missing a rule.

  • @yy0_nn
    @yy0_nn ปีที่แล้ว

    For the 1/8_/8 I got root 2
    Over 16

  • @ipurpleungi1832
    @ipurpleungi1832 2 ปีที่แล้ว

    Is this higher or foundation
    Pls does anyone know??

    • @Smixx0
      @Smixx0 2 ปีที่แล้ว +3

      Higher

  • @lauriegardner7324
    @lauriegardner7324 2 ปีที่แล้ว

    legend

  • @elamrani1449
    @elamrani1449 3 ปีที่แล้ว +2

    👍👍

  • @inaya8834
    @inaya8834 3 ปีที่แล้ว

    could you please do videos on hard quadratic equations exam questions type and using the difference of two squares to draw graphs, I bare confused on those topics because my teacher doesn't explain it to me properly. thanks for ur videos.

  • @Userdaddy6385
    @Userdaddy6385 9 หลายเดือนก่อน +6

    anyone in 2024

    • @simplyfreedom
      @simplyfreedom 7 หลายเดือนก่อน

      Here 😢

    • @tealisbored
      @tealisbored 3 หลายเดือนก่อน

      hi

    • @Userdaddy6385
      @Userdaddy6385 3 หลายเดือนก่อน

      @@tealisbored bruv my GCSE are over now and got my results as well

    • @suliemankhaliefe8216
      @suliemankhaliefe8216 2 หลายเดือนก่อน

      Yo

    • @Userdaddy6385
      @Userdaddy6385 2 หลายเดือนก่อน

      @suliemankhaliefe8216 bruv I finished my GCSEs

  • @meerkatking5521
    @meerkatking5521 4 ปีที่แล้ว +3

    :) :) :) :)

  • @maddie-1
    @maddie-1 2 ปีที่แล้ว

  • @swordam1063
    @swordam1063 3 ปีที่แล้ว +1

    you are kind of slow apart from that very good

    • @dawudhasan5960
      @dawudhasan5960 3 ปีที่แล้ว +1

      2x speed

    • @MattTheCommenter
      @MattTheCommenter 3 ปีที่แล้ว +2

      it's better than rushing and making mistakes. There is a speed option on all devices anyway lol

  • @user-qq5nz1ql7f
    @user-qq5nz1ql7f 2 ปีที่แล้ว +1

    Thanks