AS & A Level Maths No. 8. Surds - from www.mathstutor.biz

[DamiaanVDW]

thanks very much :)

[votevimto]

5 and 1/4 is not 5/4 its 21/4, for someone trying to help students you might wanna check your work. I've seen a few of your videos and they almost always contain errors.

[SirMattz]

you are a god

[DanZeshan]

maths is stupid.

[satsukizama]

Wish you were my math teacher.

[xKiiTz]

Using this for my GCSE :) Thanks

[000TheGingerOne000]

this is a level? i do harder at GCSE? x

[denwerk]

@000TheGingerOne000 lool oh don't worry, this is the very first topic of A Level, it's part of a "bridging the gap" chapter...In other words this is the ABSOLUTE easiest you will do in A Level Maths...that I can promise :)

[spott09]

are you sure that pi is not a fraction?22/7 ?

[mathstutorbiz]

@spott09 Pi is sometimes used as 22/7, but this is only the nearest vulgar fraction approximation. 22/7is just an approximate value of Pi as 3.14 is. Pi is has new been calculated. Any value you use, even the Pi button on your calculator, is an approximate value.

[spott09]

are you sure that pi is not a fraction? 22/7

[mathstutorbiz]

@spott09 I just red my above comment.... should say......Pi has never been calculated.........

[spott09]

isnt pi a fraction? 22/7

[hypomouse]

Ok im wondering, are you sure this is a/as level as im in a medium school, and we are doing this in top set GCSE at the moment. Infact more complicated questions are being given in our exam. But you do explain better than my teacher

[mathstutorbiz]

@hypomouse Yes it is A AS level................. a very VERY small part................ there is lots LOTS more ............ You can expect a proportion, a SMALL proportion of A AS level to also be Higher GCSE. And thanks for the compliment. Good luck in your studies. mathstutor

[jj1kendall]

If anyone is wandering the reason ¬7 x ¬7 = 7, is because it can be written as (¬7)^2, and the ¬ (square root) and ^2 (squared) cancel out to leave 7 :).

[sarahreded]

root3 x root12 becomes root36, I get that....but how does that become 6?????

[mathstutorbiz]

@sarahreded Because the root of 36 means the square root of 36 which is 6.

[sarahreded]

@mathstutorbiz Thank you for that, I see now, its all new to me :)

[spott09]

@sarahreded isnt pi a fraction? 22/7 ?

[sarahreded]

@mathstutorbiz I see now, Thankyou

[joemonkyjoe]

I wonder, i have thought about this method for a while now : ¬2 multiplied by a larger root, (for example in 6:30) it is half the larger¬ divided by the smaller root (so ¬2 every time) so (¬32/2 = 16 [i know not a root but it makes no difference] then 16/2 gives you 8 **the answer) I just think thats a real easy way to remember it, it seems to work, second opinion from a maths teacher? im doing A2 maths and had trouble with surds in AS, possible shortcut?

[mathstutorbiz]

@joemonkyjoe The key comment is "it seems to work". I stick to methods I know always work.

[littlemisstulip100]

REALLY helpful, thanks soo much, I need this for my GCSE next yeaarr.

[josheboy123]

I have a question: I have my own way of simplifying some surds and i want to know if its ok. (i believe it works most times)

say i have an even number so Root 20

the way i get 20 into a simplified surd form would be to half it, then half it again, (so 5) then put a 2 infront. so it would be 2 root 5 .

Works for most even numbers that need simplifying but im not sure it does for all.

thankyou!

[mathstutorbiz]

@josheboy123 If you say it works for most, that suggests you have found at least one case when it does not work. Just one case of not working means....... it does not work!!!!

[jatras1234]

@mathstutorbiz could you do like an advanced surds vid like simplyfi root 20 + 5 x 2 root 12.

[hrf1234]

Within the first minute, the number 4 and a quatre wa written 5/4.... It would be 17/1... So I stopped watching the moment that happened.

[jatras1234]

@hrf1234 he made a mistake give im a break he is trying to help people and every thing else he said is right, so stopp trolling if you stopped watching then do not show off and tell ppl you twat. (attention whore)

[MrJamesb989]

@hrf1234 it would be 5/4

[toolongtolive]

awesome, my teacher never actually explained it enough but now i understand how surds really work :)

[pri34u]

how would you do {(2 divided by root 6 )+ 1}

[AndyBTV]

@pri34u

the answer is

OVER 9000!

[mczr00]

this helped me a lot..thanks

[freckyboy08]

Thanks, GCSE module 3 so :-3 This is really helpful :) Thankssssss :D

[sammygh11]

Cheers, very helpful.

[aboyabino]

wow thank you . im planing to do my a level after a while out of school. this is helpfull to me

[krakatoa16]

good teacher. mine powers (pun intended) through maths topics too fast to grasp it for yourself.

[Square1Boy]

a non perfect square is not 1 4 9 16 36 49 64 81 100 etc?

[MissPheonix1]

they are perfect aquare numbers, because squaring them would give you a rational number....and you missed the 25 out... XD

[chriscolaco]

@Square1Boy  you missed out 25

[blo0red]

thanks alot, i'm in first yer uni and they're making us do this stuff again. totally forgotton it. good memory jog.

[hitmankiddo]

Wow....this was like secondary work and they expect u to recall all this

[rabbitspliff]

my text book is useless and goes through complicated examples and gives very little in the form of principles and formulae to substitute numbers into for specific questions. took me far less time to skip to the right bit of this vid and remind myself what to do.

thanks. (Y)

[AnimeSongs1]

this is too basic.........mainly GCSE

[Square1Boy]

then get a math book

[AnimeSongs1]

everyone has a maths book......but i want an easy way of learning it.............im just saying its GCSE work not A level as the title says

[theNeverangel]

Thanks so much! You're really good at explaining!

[elisabethbbzzzz]

excellent, plain and very easy to understan

thank you

[Desi4evah]

4 + 1/4 makes 17/4, not 5/4. LOL!

[Desi4evah]

@LitooTapiiOca OK.. Good for you.

[HVAPFDS]

Wow!

[thestonedowl]

Thanks really helps with my advanced mathes

[x3Beckiiee]

your really good, thanks :D

i have subscibed!

[TheivingGypsyScum]

shouldnt you know this from GCSE?

[mathstutorbiz]

yes, but in all levels of exams, revision of some topics from lower levels of exams is expected. mathstutor

[x3Beckiiee]

thanks forr the helpp (:

imaa nerrrdddd (:

[golddean]

yea my exam is tomorrow mate lol ty 4 the help

[ForeignArtist]

Thanks, really helps with exams next week :)

[brendanyun]

I second that

[KungFuMil]

Excellent.

[lookwhoscomin]

lol

[AceBandit2309]

this is brilliant

[AceBandit2309]

wow. thanks

[papasee]

Thanks very much

[speedybirdrs]

Thank you very much. It was very helpful. Cheers.

[saajanthegreat]

Thanks a lot :)

[mathstutorbiz]

u r welcome. mathstutor

[edBOYedBOY]

Thanks very much

[joshisdaboi]

u just contributed 2 my gcse revision.

thank you this was very useful! = )

[Krallis27]

Thanks I was off skool and neede to catch up. This vid really helped thanks.

[wesley605]

thanks for the help, i just had my maths C1 exam yesterday and there was a question on surds, this video helped loads, aswell as some of the others :)

[DragonReza]

Very helpful video, thank you.

[grey563]

4(1/4) doesnt =5/4 it equals 17/4

[mathstutorbiz]

well spotted, silly slip on my part. mathstutor

[grey563]

no problem, and thanks for the vid. good help

[edBOYedBOY]

grey563, that's exactly what I was thinking about. Then I thought "Naaaah, it's probably my wrong way of calculating fractions and he can't be wrong" lol

But no worries anyway, it's only a mistake and his video was of great help anyway.

[xAznRoxy]

Awesome! Thanks

[NinpoFrog]

@.@

[sinydastar09]

Do NOT drop chemistry for maths..

I take them both an they are both CRAP:)

[lukeman867]

Thanks alot, just helped me with my A-Level practice paper :)

[valveforlife]

Hi. Im doing Higher Level Maths in Ireland for the leaving certificate.

Can someone please tell me why:

(root(7))(root(7)) = root(7x7).

Thanks ....Good Video.helped me alot ..Thx

[wesley605]

I don't know if this has been answered yet but ill try answer it anyway.

When you times root 7 by root 7 its the same as squaring the square root of 7. They cancel out and leave you with 7 which is the same as root 7x7 (root 49)

[valveforlife]

thx for the help

[saecato]

cheers dude, this is really helped:)

[andyblud]

Im doing my GCSE maths and im not really that confident on surds but this seems to be setting me on the right tracks.. cheers

[TweekDash]

(2+2R7)x(5-R7) GAH!

R = square root.

Man i might just drop maths and do chemistry.

[cocoblushx]

(2 + 2√7) (5 - √7)

Now do foil, or "crabs claws"

(2 x 5) = 10

(2 x -√7) = -2√7

(2√7 x 5) = 10√7

(2√7 x -√7) = -2 x 7 (because root x root = self) = -14

Tuddah!! =)

I do both maths and chemistry, and chemistry is EXTREMLY dull, and even if you did swap now you would be so far behind it wouldn't be worth it.

[cocoblushx]

oh yeah and you have to add them al together

10 - 2√7 + 10√7 -14

= -4 + 8√7

[TweekDash]

Yeah, but Chemistry would help me get a decent job?

I don't know. I might forget the whole thing and join the army :P

[taycondec]

thank you soo much for posting this video :D as u sir are a gienus

[mafino]

You sir, are a genius. Thank you so much, I think you've saved me from getting anymore U's in Maths A level hwk :D

[mathstutorbiz]

Pleased to be of help. Do visit my web site mathstutorDOTbiz to see all the free video clips PLUS consider the complete DVD's available.

[xxxicehockeygalxxx]

Thank you so much! This all makes so much more sense now. But i was wondering, what if you're asked to say + or - say 2(sqroot)5 + 4(sqroot)7.

Because the numbers u used have the same srquareroot and at the moment im having trouble with doing ones that don't have the same squareroot. thanks

[mathstutorbiz]

There is no "short" way for questions like this. Add or subtract different square roots would need to be calculated with a calculator and hence only be an approximate answer.

mathstutor

[edBOYedBOY]

Fantastic.

[liverpoolabcdefg]

May God bless this great man!

[batikill1]

thanks for the vid bro

[B3LLEND]

Thankyou for taking the time to put this together and spread some knowledge. I recently started an AS Level Maths and I am 26. I havnt studied Maths for 10 years and I am very rusty but this is a great help. The internet hadnt taken off when I was at school but this is a classic example of a brilliant appluication of it.

[UntouchedNoteBook]

thanks so much my school teacher can't teach our class surds we started it in year 10 im almost finished year 10 now but the highest mark was 64% and that was like the top nerdy kid (i got 15% the 1st time 18% or somthing the 2nd)now that exams are coming up i need to teach myself but this was a great help thank you so much (my teacher gave up on teaching us surds he tried twice but a large majority of the class got under 25% like 16/23)

[mathstutorbiz]

Thank you kind words, glad to have been of help. Why not visit mathstutorDOTbiz and see all the free video clips.... plus consider the full version DVD's..... sorry but the full version cost .....

[petercourt]

Thanks for the video. Could you please go over questions where the surd is not equal and you have to add them? E.g. by simplifying?

2√5 + 3√50 + √75

[aprimic]

Find the equation of the lines joining the following pairs of points. Leave your final answer without fractions and in the one of the forms

y=mx+c

Q3

a) (1,4)and(3,10)

[MatthewMitch23051992]

It works like that becuase square numbers such 144 can be expressed using other square numbers such as 4 lots of 36.

[tombsesquire]

maths tutor you are a G

thank you

[xEckksx]

your really helpful, thanks.

[aprimic]

how would i do

³√5x³√5x³√5

Please help

[mathstutorbiz]

cube root of 5 can be seen as 5 to the power a third:

5(to the power 1/3) x 5(to the power 1/3) x 5(to the power 1/3)..... when multiplying, the indices are added, so we get... 5(to the power 1/3 + 1/3 + 1/3) = 5(to the power 1) = 5.

any help?

mathstutor

[aprimic]

yes thanks :D

can you simplify √40 without a calculator

also

how do i do

2√2+2√3

also thank you for replying so fast

[mathstutorbiz]

√40 = √(4 x 10) = 2 √10 .ok?

2√2+2√3 = 2√2+2√3, that is , nothing can be done other than factorise..2√2+2√3 = 2(√2+√3)

mathstutor

[aprimic]

Do u have instant messenger so i can contact you very fast

Thanks again

[mathstutorbiz]

sorry no.... and I only answer the odd question to help...... please visit my web site mathstutorDOTbiz to see if I can help that way

[aprimic]

i would have to pay for that... :(

Unless i could phone you for free :S

obviosly not including the phone bills...

btw

what is

√3

--

√48

[aprimic]

that

--

is a over sign aka divide

[aprimic]

i would have to pay for that... :(

Unless i could phone you for free :S

obviosly not including the phone bills...

btw

what is

√3

--

√48

[BobbyJenkins]

It's a 1/4, ain't it? Cause 3/48 is the same as 1/16 and 1/16 square rooted is 1/4.

[aprimic]

wow you make maths so easy

if i phone the number on your website...

do i get through to you or someone else

[aprimic]

with 3 root 5 x 5 root 6

why dont you get 2 at the end

because 15 x root 30 should be 2

or does it not work like that

[mathstutorbiz]

do a little check with a calculator. 15 x root30 = 82.15838363... not 2

mathstutor

[MAURYPOVICH84]

thank you so much, this has helped me quite a bit.

[biancakasama]

surds are in the gcse? wow.

[qqqqqqqq]

Quite interesting, helps me with my IGCSE in maths - so thanks. Is this not covered in normal GCSE??!

[mathstutorbiz]

Most of this topic is also on GCSE.

mathstutor

[bassboy666]

thank you this really helped even my dad understood

[mathstutorbiz]

well done dad!!

mathstutor

[Clinical1971]

Thank You So Much, I Have a GCSE Maths Tommorrow and this has helped me ALOT understanding Surds, my teacher has never gone over them brief enough for me, so this has really done it for me Thanks Again

John

[mathstutorbiz]

best for the exam John.

mathstutor

[miamazing]

Very Helpful! Don't think I'll ever master the topic, but you really clearly explained it and I feel much more confident :)

[topKat92]

really helpful, thank you very much.

[mathstutorbiz]

u r welcome

mathstutor

[softkeygamer]

Near the start there is a mistake, you calculated 4 1/4 as 5/4 when it is actually 17/4.

[mathstutorbiz]

True, a really careless mistake.

mathstutor

[louisjent]

i have a IGCSE tomorrow and this really helped!thanks.

[mathstutorbiz]

Good luck in your exam.

mathstutor

[Vyvyan92]

thanks, that clears up a few issues i had but still lost on a past paper question i have.

(√6+√15)^2 = a+b√10 task is to find values for a and b, could you inform me of what it is i need to revise on?

[mathstutorbiz]

The examiner will always find a different way to ask the questions on a particular topic. This question requires no more knowledge, just using what you know. Right first remove the brackets and then....(√6+√15)^2 = 6 + 2√6x√15 + 15 = 21 + 2√(6 x 15)= 21 + 2√(90)= 21 + 2√(9 x 10)= 21 + 2 x 3√(10)= 21 + 6√(10).... so we have a = 21 and b = 6... Ok?

mathstutor

[nellynana7]

thank you! its not jsut 'AS' and 'A' level i'm 14 and did tese a few months ago and i got a D on the end of modual paper! and i'd got A* in all the others! i still didn't get surds up untill now thank you!

[mathstutorbiz]

u r welcome

mathstutor

[yjrocks]

THANK YOU SO MUCH

this helped me alot with understanding surds

i have a maths exam on monday and this saved my life!!!

[mathstutorbiz]

good luck with the exam.

mathstutor

[stacy92]

Absolutely fantastic! Thank you! Although 1 thing you missed and what has been confusing me: What about if a question asks you to simplify, Square Root of 12? How would you do this. Overall it was great, keep doing what you are doing, please.

[mathstutorbiz]

Pleased to have been of help. This is the opening of the available DVD on this topic. How to deal with the likes of square root of 12 can be found on the complete DVD lesson available from mathstutorDOTbiz.

Good luck in your studies.

mathstutor

[goldenstrands]

iv jus started to watch this then paused it to read the comments nd they all sound positive , i have a exam tomorrrow which includes this nd i am confused about surds , so im gona give this a try! :D

[mathstutorbiz]

good luck with the exam

mathstutor

[stk006]

yh me 2 i got maths exam 2moro aswell

[stk006]

yh me 2 i got maths exam 2moro aswell

[xXAffy4u2envyxX]

dear maths tutor fank u ever so much for putting this vid on i hav a maths gcse module on 3rd of march n relli needed this 2 help me with surds. thanksfor putting this up!

[mathstutorbiz]

you are welcome. good luck with the module.

mathstutor

[Spactillx0x0]

thank you great vid

[mawarmusfirah]

wow... this is very helpful... now i can understand surds abit better.. thanks for posting!

[Kojaimea]

I have just bought all of your DVD's for core 1 and core 2 exams, as well as Mechanics 1, i hope they are all as good as the free ones on youtube. :D

[mathstutorbiz]

Thank you for your purchase. I also hope you find it was money well spent!"!

mathstutor

[Kojaimea]

Oh wow, this is perfect for me. Its a shame i only found it the day before my exam....

Luckily it's helped me in surds, which is one thing i have never understood since GCSE.

Thanks maths tutor!

[mathstutorbiz]

Good luck in the exam. Why not visit my web site mathstutorDOTbiz to all the free video clips?.............. and possiblly consider the complete DVD's on offer for your next exam

mathstutor

[bape890]

Awesome this was so useful thanks! I have an AS exam on Wednesday wish me luck :) Good luck to everyone else too!

[mathstutorbiz]

good luck in the exam.

mathstutor

[pjppjp24]

Very helpful, many thanks; but may i just say that when you've put rational numbers, you've put 4 1/4 = 5/4

i'm sure just a simple mistake but i did enjoy the irony that the mathstutor got a simple fraction wrong ^^

many thanks for the clip

[mathstutorbiz]

well spotted, either should have put 1 1/4 = 5/4... or 4 1/4 = 17/4... when I do videos it is too easy to make silly slips, in the classs room my students used to help me out!!

mathstutor

[sugscottspaz1]

what about surds like this

for example

Rationalise the denoinators of the following expressions and then simplify if necessary

6

--------

3+√3

[mathstutorbiz]

multiply top (the 6) by (3 - √3) and bottom (3+√3) by the same thing(3 - √3).

after removing the brackets and cancelling the answer is (3 - √3)...... not easy to explain or understand just in text, that is why I do the videos.Check out all that are available on mathstutorDOTbiz Good luck. mathstutor

[ChezaCee800]

I love you mathstutor :] you are a hero.

[mathstutorbiz]

well thank you.

mathstutor

[Fazy17]

aryt cool.. thanx

[mathstutorbiz]

you are welcome, best of luck in your studies. mathstutor

[Fazy17]

there is a bit missing.... rationalise the denomiter??? thanx anyway good help:D

[mathstutorbiz]

not missing. this is only a video clip from the lesson. this is a "FREE" clip............ if the full version of the lesson is wanted, including rationalise the denominater, then visit my website and you can find it along with other tuition videos. to BUY!!!!!! mathstutor

[2terence2jones]

why can't you just teach rationalising the denominator in the free clip? it's nothing very difficult or significant.