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(4 + square root of 12) squared = ? How to Multiply Binomials 

TabletClass Math
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How to multiply binomials with square roots and radicals. Learn more math at TCMathAcademy.com/.
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27 июл 2024

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Комментарии : 47   
@gregginter5867
@gregginter5867 4 месяца назад
Soon to be 69yo n former regal n sped teacher. Never boned up on math but it always fascinated me n I ended up teaching quite a bit of basic math! I thoroughly enjoy your pods! Ty for your yrs of yeoman service in the trenches! My father was an engineer n he taught me a lot of basic+ math on our race horse farm! 🎉❤
@vwr32jeep
@vwr32jeep 4 месяца назад
I’m gonna turn 69 just waiting for him to get to the point.
@tntltl
@tntltl 4 месяца назад
Thank you for the video.
@car-less-ness6770
@car-less-ness6770 4 месяца назад
Thank you for stimulating that part of my brain that stored math learning from grade 9 high school.
@richardhole8429
@richardhole8429 4 месяца назад
4^2 + 2 x 4 x sqrt12 + (sqrt12)^2 = 16 + 8 sqrt12 +12 = 28 + 8x sqrt4 x sqrt3 = 28 + 16 sqrt3 Answer D I did this in my head.
@relaxingmusicbutterflycinema
@relaxingmusicbutterflycinema 4 месяца назад
I can say now you’re my teacher. ❤❤❤. Thank you.
@MeLrOsE429
@MeLrOsE429 4 месяца назад
Always take a guess.....unless guessing, and getting it WRONG, will hurt you such as on college entrance exams. Important to make that clarification.
@raya.pawley3563
@raya.pawley3563 Месяц назад
Thank you
@russelllomando8460
@russelllomando8460 4 месяца назад
got it D just multiplying the parentheses and combining terms thanks for the fun
@vespa2860
@vespa2860 4 месяца назад
Under PEMDAS should you simplify the sqrt of 12 first giving (4+2sqrt3)^2 Doesn't make any difference, but............
@subasu478
@subasu478 3 месяца назад
28
@josephlaura7387
@josephlaura7387 4 месяца назад
d) 28+16sq.root of 3
@samchalohana4423
@samchalohana4423 4 месяца назад
Is this the answer or another problem?
@MartinHermans-dw3is
@MartinHermans-dw3is 4 месяца назад
No work required for this one. There is no way to add an integer and a square root, which eliminates the first three
@themanwithnoname8241
@themanwithnoname8241 4 месяца назад
I've gone over to watching RU-vid on a browser so I don't have to put up with the advertising 😁👍
@sekharb6651
@sekharb6651 4 месяца назад
28+16rt3
@scimitar415
@scimitar415 4 месяца назад
try the ORGANIC CHEMISTRY TUTOR for all your math needs many will say I'm correct
@johnmarchington3146
@johnmarchington3146 2 дня назад
My answer is (d)
@NevadaNotaryServices
@NevadaNotaryServices 4 месяца назад
What would be the name for problems like this if I am looking to have more practice on problems like this one please?!?!
@eccentricaste3232
@eccentricaste3232 3 месяца назад
Radical equation.
@EdnaWilkes-cy6ki
@EdnaWilkes-cy6ki Месяц назад
Answer D
@reinhardtristaneugen9113
@reinhardtristaneugen9113 4 месяца назад
eine leichte Aufgabe, die aber gut geeignet ist, um zu zeigen, dass man sich ein Ergebnis auch logisch herleiten kann, ohne das präzise Ergebnis genau zu kennen, was aber schnell ausgerechnet ist und auf 54,76 bei mir ausgeht, weshalb sofort gesehen wird, dass nur Antwort d ) 28 + 16 mal Wurzel aus 3 richtig sein kann... ...wie folgt kann vorgegangen werden, so man Wurzeln nicht im Kopf rechnen kann: Das Ergebnis muss größer 49 aber kleiner 64 sein ( ...Wurzel aus 12 liegt ja sicher zwischen 3 und 4... ), sodann kann man a) und b) ausschließen, weil a) bei circa 2 liegen muss und b ein Bruchteil von eins ist, der ja sicher kleiner als 0,75 sein muss. Antwort c kann es aber auch nicht sein, denn die Wurzel aus 6 liegt zwischen 2 und 3 und damit das Ergebnis von c sicher über 96. Bleibt nur Antwort d) und weil die Wurzel ja sicher nicht über 2 liegen kann, dann aber 60 als Ergebnis aus dem Term entstünde, kann nur Antwort d richtig sein. Das Ergebnis ist übrigens 55,2 ausgerechnet und abgerundet identisch mit 54,76 aufgerundet. Le p'tit Daniel,...war bei mir eine 10-Sekunden-Aufgabe, die als Format sicher gut für < Wer wird Millionär > ist, indem man sich so schon mal in Abhängigkeit der pekuniären Wertigkeit der Frage einen gewissen Vorrat an Burgern zulegen kann.
@lientran1808
@lientran1808 4 месяца назад
D is the answer
@shippingroychowdhury6831
@shippingroychowdhury6831 3 месяца назад
28+16sq root 3
@mariasue5252
@mariasue5252 4 месяца назад
It's d)
@GoofballFlyer
@GoofballFlyer 4 месяца назад
~55.71281 so d
@stompthedragon4010
@stompthedragon4010 4 месяца назад
66 here. If you can help me through math it will bea miracle.
@usercap4061
@usercap4061 4 месяца назад
Do it in just half minute
@suzannefulk7281
@suzannefulk7281 4 месяца назад
D
@danielmadden9691
@danielmadden9691 4 месяца назад
d)
@panlomito
@panlomito 4 месяца назад
Easy does it... (4+V12)² = 16 + 8V12 + 12 = 28 + 8 . 2V3 = 28 + 16V3 Have a nice weekend !
@1961ebutuoy
@1961ebutuoy 4 месяца назад
7 + 2 sqrt of 12
@SAGNIKANIVSAHOO-wg2lf
@SAGNIKANIVSAHOO-wg2lf 4 месяца назад
This is not that difficult also. Any average 8th or 9th grader in countries like India,Japan or any other country could easily get it correct. But,some may also commit errors while doing hurriedly.
@artsnow8872
@artsnow8872 3 месяца назад
Why not the answer: 28? The square of a root is the number, 12, which has been "rooted". The square of 4 is 16. Thus, 12 plus 16 is 28. Your counter?
@cjs8332
@cjs8332 2 месяца назад
When I first saw this example, I thought the same. I guess it has something to do with distributing the exponent? I can't find a way to work out this problem without multiplying the expression by itself, as John did, using the FOIL method. I'd sure like to know why you can't simply distribute the exponent into the parenthesis.
@gavindeane3670
@gavindeane3670 2 месяца назад
​@@cjs8332 Maybe try thinking about the question the other way around with a simple example like (1+2)². Why should 1×1 + 2×2 = 3×3 just because 1+2=3?
@cjs8332
@cjs8332 2 месяца назад
@@gavindeane3670 Hello Gavin, Thanks for the response. Interestingly, I see that you can't distribute the exponent to the items inside the parenthesis, but it isn't intuitive as to why it doesn't work. I've just resigned myself to manually multiplying the elements inside the parenthesis the way John does it. (x+1)(x+1) = (x+1)^2. Truly, I'm not very good at math, but I find it so fascinating, that I spend my free time playing with it. Thanks again for taking the time to respond. Best wishes.
@topkatz58
@topkatz58 4 месяца назад
d.)
@1961ebutuoy
@1961ebutuoy 4 месяца назад
I'm wrong, again. Sorry Mr. Math man. I can't divide by four or my answer is 1/4 the correct answer. Oh well, I get 25%....
@jousairihasbullah7141
@jousairihasbullah7141 4 месяца назад
Too much talk..talk and talk.
@snapshot12100
@snapshot12100 4 месяца назад
You talk too much.This makes simple thing difficult
@btcsys
@btcsys 4 месяца назад
Alot of rambling but good instruction
@stephena1196
@stephena1196 4 месяца назад
I find the rambling can be useful, because it gives me time to think about the last part before we go on to the next part.
@btcsys
@btcsys 4 месяца назад
Possibly, but there are so many videos and not enough time ​@stephena1196
@frank0563
@frank0563 4 месяца назад
You are great at math , but you babble too much....Sorry. It finally got to me! lol
@josephlaura7387
@josephlaura7387 4 месяца назад
d) 28+16sq.root of 3
@shippingroychowdhury6831
@shippingroychowdhury6831 3 месяца назад
28+16sq root 3
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