Learn how to rationalize the denominator with a binomial and radical

👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator and then simplify. When the square root in the denominator is covering both terms of the denominator, we multiply both the numerator and the denominator with the denominator and simplify.
Timestamps:
0:00 Intro
0:50 Start of Problem
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Organized Videos:
✅How to Divide Radical Expressions
• How to Divide Radical ...
✅Divide by the 4th root with variables
• Divide by the 4th root...
✅Divide by the cube root with variables
• Divide by the cube roo...
✅Rationalize the denominator with the cube root
• Rationalize the denomi...
✅Rationalize the denominator with radical binomials
• Rationalize the denomi...
✅Divide the 5th root of a number
• Divide the 5th root of...
✅Divide by the cube root of a number
• Divide by the cube roo...
✅Simplify the square root of a fraction
• Simplify the square ro...
✅Simplify the square root of a fraction with variables
• Simplify the square ro...
✅Simplify the square root with multiple fractions
• Simplify the square ro...
✅Divide by the square root of a number
• Divide by the square r...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#radicals #brianmclogan

[@kronosuber9849]

Explains better in 4 minutes than my math teacher does in a 73 minute class period.

[@hisamzwanmal5]

not funny

[@morpheus7670]

@@hisamzwanmal5 was it supposed to be funny?

[@nugget2709]

Ananun The King lmao exactly

[@a2lyy]

@@hisamzwanmal5 stfu

[@Phantom-no5ri]

@@hisamzwanmal5 yes it is

[@kaylawilliamssss]

who’s here crying at 2 am on a wednesday night because you don’t understand algebra 2

[@dudedude9528]

Wish you look and if you do pass the class practice if you are planning to take higher math cuz it bites u back in the future

[@layankhader118]

Meeeeeeeeee

[@cheese4467]

i have to do this crap in algebra 1

[@keithpetersen8105]

Cheese same and i'm in 8th grade not 9th

[@ROSHAN_MUZZ]

How are you guys this is Roshan here and I am from india whats going on in your country

[@vitaseila3887]

His students are so lucky to have him as their teacher :(

[@alex_22gaming90]

That's what I was thinking

[@electra9709]

watching these videos the night before my test and he's explaining everything so well and understanding and am more confident I will pass. thank you so much, even all these years later

[@brianmclogan]

Yes!!

[@allisonlacroix4626]

girl same

[@mrdefault6283]

My teacher: 2weeks explaining
My phone 2 minutes

[@jamax-bu8rl]

this is better than my school teacher :(

[@d_martinez1964]

Agree

[@Titonh1]

Agree too

[@Phantom-no5ri]

Agree

[@cookiesncream_]

who’s back on his channel for hw? ugh you’re a blessing sir even after 7 years thank you

[@bened1xt]

For a test yes

[@GenerallyGoodMusic]

Glad she spoke up at the end cause I was paused trying to figure out what I missed there for 10 minutes haha.

[@splash9285]

Yeah same I was about to just go to sleep and give up on turning my homework in (due first period 8:30 am... it’s 2:20 am rn)

[@joshb6382]

bald math teachers on youtube teach the best

[@gabred5800]

😂😂

[@yugkastwar2334]

How many are watching after 7 years

[@venomshyper074]

hey hey!!!

[@MilkyWayMarsBar]

Nope. Eight years later for me.

[@venomshyper074]

he just might be the coolest maths teacher on this planet

[@ali3ahh206]

God bless you. Honestly. 10 years later from this video it is STILL being used. I am in the 10th grade and this helped me, thank you.

[@nojud3547]

love this guy, im in college math and i still watch his videos whenever I get stuck

[@jackobrien4638]

That's why it's important for students to feel comfortable asking questions. Thanks whoever that was!

[@k.a.m_dh9959]

I have a good teacher but I fell asleep in class. Thank you!!

[@bhavikupadhyaya972]

Thank you so much sir I have a my Final Exam tomorrow and this helped

[@margotobrien3269]

this man has saved my algebra 2 grade countless times, anyone else?

[@mckennademaray]

dude this man is the only reason i am passing a2 XD

[@JoeCnNd]

3:09 this is why it's good to have the students in class to ask some of the questions I had too. I was confused why you put a 3 there as well.

[@s6edge7]

This teacher is a mad lad , he rocks up sets up his cam , and solves maths like no tomorrow

[@caps741]

Thank you! I've watched like 7 videos trying to get that explanation of what happens at the end.

[@UTKARSHTRIVEDI69]

My teacher be like follow only my formula that is
Confuse

[@mitsuuteplays8239]

i love the aura of this instructor {(whisphering)Better than my teacher}i^2

[@bettykwong9694]

Wow! Thank you! Great teaching strategies.

[@wl3851]

I understood it so much better now! Thanks!! Awesome video!!!

[@nyc.sophia]

this helped so much! thank you for helping me not stress out

[@layankhader118]

Thank you so much . That was really helpful

[@sadianasir5494]

Sir, I'm in year 10 and have a math term final in a few days. You just saved my grade....
THANK YOU SOOOO MUCH ,I WISH U WERE MY TR...!

[@brianmclogan]

You are very very welcome!!

[@zackthewack5639]

Thank you so much, this made perfect sense. One question, at the end if that numerator and denominator numbers did go together would you have to divide them?

[@peseco2194]

Yea

[@zeyad7947]

Man this is some good stuff, you tube adds are good and all but man imagine all the bread you'd get with sponsorships. Also great videos man. LOVE IT!!

[@MrBeafyYT]

Thank you!

[@quinnt671]

my teacher does notes but doesn’t put examples so i have to watch youtube to really understand. Thank you!!

[@anthonyorji4404]

Wonderful teaching sir

[@tia6964]

thank you brian

[@theadff.]

Great sir love from india❤️

[@carl___________]

You are the best👍

[@maryreeves8524]

ur saving me in my college math class rn thank you

[@omegadadragon]

This dude has so many subscribers just because of how good of a teacher he is.

[@enlightenedsoul8897]

If I had this guy for my GCSEs, I might actually pass

[@MenyeMC]

Good Teacher!

[@jesusjhonruiz9465]

I love when he's a professional teacher, but still thank you when he make mistakes

[@whynotanyting]

You seriously could learn everything on UA-cam. Quicker too.

[@josephspence7426]

i need this man as my teacher

[@kdrama_gurll_]

Thank you sir this video ws very helpful

[@madrockyff339]

Thanks you dear sir.

[@mikhailgorbachev7851]

You are the oldest comment

[@lnSignia]

Nice explanation in 4 minutes.

[@mehdinematiyan8578]

thank you

[@DennyVlogs]

amazing guy!

[@tydesticlaru3361]

Alhamdulillah for these math people that make UA-cam vids

[@panthkritkaur403]

Can we rationalise 37/5+y ?

[@redboy4695]

You’re soo good omg wow

[@kelli5966]

thank you!

[@chuckyg2427]

thank you!!!!

[@grandevideos8603]

thanks

[@MeGustaMiRaggae]

Thanks Brian!

[@brianmclogan]

You are very welcome!!

[@rianosheacurran8167]

Thank you

[@chloevandermerwe3036]

he is so much better than my teacher that can’t even speak english

[@jackobrien4638]

Thanks teacher!

[@brianmclogan]

You are welcome!

[@Jimmy_Vee]

Thanksssss

[@KC-kc1zh]

Is there a video with other roots, like cubed?

[@supermarketdave6762]

I thought i was crazy when I saw the radical three above.

[@deletedurmom4465]

Hey so I got an answer where I can divide the denominator what should I do now??

[@waiatm]

I wish the video kept going 15 seconds because I still got kinda confused why we couldn't subtract the 4 from 12. I guess its in the wrong order of operations?

[@brianmclogan]

Not like terms the 4 is multiplied by the radical

[@waiatm]

@@brianmclogan ah I see now! Going back to school after not taking a math class in 10 years and your videos are the only thing keeping me halfway in the game. Thanks!!!

[@theophonchana5025]

#rationalizing #rationalization #rationalize #rootrationalization #binomial #polynomial

[@trxstytrades]

He just thought me in 3 minutes than my teacher could in 90 minutes

[@autogrammarbot1900]

Taught*
I am a bot and this action was performed automatically

[@trxstytrades]

@@autogrammarbot1900 the fawk no it was not I said this a week agao

[@autogrammarbot1900]

@@trxstytrades
Taught
Definition: show or explain to (someone) how to do something
Example: "she taught him to read"

[@autogrammarbot1900]

@@trxstytrades
Thought
Definition: action or process of thinking.
Example: "Sophie sat deep in thought"

[@trxstytrades]

@@autogrammarbot1900 oh wow either ur a really smart human being with a lot of time on your hands or you are actually a bot

[@facelessdorito]

Had Covid and didn’t study soooooo Math final tomorrow 🥳

[@lelouchlamperouge8780]

why did u multiply the nominator with square root of 3 ? when u multiplied the denominator with square root of 2?

[@elizabethreese3546]

He didn’t intend to, it was an accident

[@d6853]

Did you watch the whole video?? Clearly not because he corrected it.

[@bbb2uh]

I wish he was my teacher.

[@milloboiplays8558]

In the first step i dont understand the top Why its 12-4?

[@Thexaxisacademy2023]

😂😂😂❤️ thank you

[@santhosharavinthan2768]

Living legend

[@eli_asf3568]

Clutch

[@vanelopeecandy1493]

Please answer this forrr meeeeee god bless 1 divided by square root of 2 plus square root of 5 plus square root of 3

[@sleepyfella]

Which class do you study

[@tarekouda8979]

you cant simplify that but you can solve it by making this
1/3^0.5 + 5^0.5 + 2^0.5
then you are gonna put them up by changing the power sign so
1 × 3^-0.5 × 5^-0.5 × 2^-0.5
you will get the answer

[@jireh7718]

so hard!!!!

[@zombathinlostleghackercat5233]

She has a cute voice, she should be a voice actor.

[@HongLe-pk3vd]

Where did the 12 come from

[@jamesbrennan1916]

Does (a+b)(a-b) and (a-b)(a+b) equal the same thing?

[@sicktricks8918]

yes they do
thats the property of some multiplication thing idk. Basicly if you multiplying, signs go with numbers but other than that your good

[@makingmanymoneymoves]

is this gcse level or?

[@kpopsmile1191]

DALLAVID pre cal 11

[@samantha2afterwuat778]

I love u

[@ZBricks]

why is it square root of 3 instead of square root of 2?

[@AngusMcAlister14]

He made a mistake. He answered it though.

[@jay6532]

3:08 lol

[@akacukika6988]

hey, could u please give me ur time and answer my question which ihasbiouvgisfcou my interesets:which grade are u in?/in which grade did u need to see this vid

[@JenniferGonzalez-hg4qi]

What if there was no + sign

[@remeader]

Then you wouldn't need to multiply by the conjugate. You would simply multiply the numerator and the denominator, by the denominator (not the conjugate). This would give you 12 root of 2, over 9 root of 4. simplified this gives you a final answer of 2 root of 2, over 3.

[@dudedude9528]

Im confused when rationalizing a denominator aren't we suppose to use a conjugant

[@daiwikdhar6464]

Bro just multiply the radical in the denominator with the denominator and the numerator

[@dudedude9528]

@@daiwikdhar6464 thanks got it

[@skylarcreel6158]

or just multiply the num and denom by the denominator which means you have to just multiply the 4 by the denominator and the denominator by itsself

[@trundlegaming8019]

yeah but this is easy. I struggle when the teacher gives me a really big equation and its alot harder to rationalize

[@Blurzy1017]

legit im in 8th grade and learning this stuff

[@flamzz9675]

Same

[@Aj-me8mo]

I'm in college learning this stuff Lmao

[@Naruto-mn1dy]

👀

[@braneded1773]

Imma guess that I don't understand nothing coz it's kinda hard to understand since I can't take it in the way you are explaining it

[@wubayehugezahegn4183]

Wubayehu Gezahegn

[@dumbwithmilan]

im gonna fail. 😢

[@pragyasingh6101]

My school teacher taught very easily then him

[@mrcoleman9851]

I eat cats

[@somarani5216]

This is not useful

[@jay-ch1kk]

Very mistake and wrong

[@jedediahwright6959]

Thank you!

[@leithagrover9116]

Thank you

[@lisandrolisandro8100]

thank you

[@m.a.oosmani4650]

3:10 lol