I like his thoroughness. He was very easy to understand as he was defining terms as he worked through. Many times teachers leave out pertinent comments that make the process clear. Thank you sir!
LOVE. THIS. GUY. I've seen about a dozen other videos on this topic and still get wishy-washy but this guy is on it and he's pretty entertaining to listen to "mmhm!"
Thank you for your kind lessons, and you're so powerful teacher, I'm following your video everyday in the morning, I live in the UK, but because I would like to reach A LEVEL.
I love the enthusiasm you have for math!! It almost made me reevaluate my hate for it lol. Since math is a necessity though , I really enjoyed the lesson...helped a lot.
Hi my name is Peter and I thank you Mr. Witt for these videos. Tomorrow is our exams and its about radicands and I thank you for helping me learn. Kepp making videos! hahaha
Too fast for me. Thank goodness for the pause and rewind option. I' m trying to learn so I can help my 8th grader. Thanks, I have a better understanding. I'll be checking out your other videos. Thanks again.
Thank you so much for helping me! I didn't really understand our lesson for today at school and we have a quiz tomorrow so I checked out youtube videos and I ended up here :) Thank you again!
this very cool. I like your videos! Also, if you want to use a similar process of using conjugates when dividing cubic radicals, this process is called using a sum or difference of cubes. Just like how you used conjugates in the form of (a+b)(a-b), with cubes you can use (a+b)(a^2-ab+b^2) and (a-b)(a^2+ab+b^2)
Great explanations, but I know I'm going to have a problem remembering how to work those roots in the denominator that are cubed roots, fourth roots, and fifth roots, etc. But if I write this comment, it will help me to remember: So as I understand it, if we have a 4th root of 3 in the denominator, we must multiply it and the numerator by the fourth root of 21, and if we have the 5th root of 4 in the denominator, we must multiply the numerator and denominator by the 5th root of 256, etc. Please correct me if I'm wrong. I had to stop the video and go back over that part to understand the relationships of the numbers, but I think I'll get it. I just always have to know "why" something is true and prove it to myself when I don't immediately grasp it intuitively. Thank you for your hard work and caring attitude, you've helped a lot of people of different ages and from all walks of life to learn (or re-learn) math.
In your example of having the fourth root of 3 in the denominator, you would multiply the numerator and denominator with the fourth root of 27 (the result of 3^3 which is needed to make a perfect 4th).
@@FortBendTutoring Yes, what was I thinking?? Of course it;s 27, not 21, but I guess I was trying to keep too much on my mind and I wanted to get it "on paper" too fast. Plus I was cooking my French toast at the time (excuses, excuses : ) Thanks for the correction and quick response.
OMG ur blessed, my teacher just doesn't know how to explain anything. Or maybe i'm just stupid, idk. Anyways, back to the point. Love the way u explain and teach in general, this vid saved my ass as well for a test tmrw like what Chelsae Rae said. ;P
Thank you for posting this video! Even though the explanation is fast, I understand it and I think it is also helped me improve my hearing. Really! It helped me a lot but can you do more complicated problems? Thank you sir in advance!
your videos always help me in my algebra class so just want to say thank you for doing a very good deed for many. I have an equation I'd like your assistance with 5/5x-11 + 4/2x-3 = -3/5-x
+Ma Majah If you need more assistance, you can schedule a paid online tutorial at www.TutorMeMath.net or check our recommended channels list for a video on the topic.
For the final answer where it is - 14 sqrt - 14 sqrt is the answer for that portion -28 sqrt and from -28 do you get 2 sqrt 14 by multiplying 14 times two to get 28?
Hey, your videos are really helpful and very clear to understand. But i have one question, when im solving these type of problems with radicals and fractions in it, what order do i follow? I mean how will I know if I should factor out a number, cancel out number, simplify radical, or divide the radicals first? Also what about BEDMAS rule? do we follow BEDMAS in these type of questions too or not?
Yes, BEDMAS can be applied and it can be frustrating as different problem types are best solved a certain way. My advice to you is to solve as many problems as possible so that you’re exposed to various types so that you’ll know how to solve them when you’re tested.
On number 2 could you have also squared the fraction or would that change the value? Like distribute the ^2 to 6 and to sqrt 2 so then you will get 36 over 2? Then simplify to 18? It is a ‘radically’ different answer than 3 times sqrt 2. May you please clarify for me.
I thought about it and you can’t square it because then what happens is you multiply the top by 6 and the bottom by sqrt 2 which is not rationalizing because it changes the value and ratio by multiplying a different number to the denominator and a different number to the numerator.
The "minus" sign you're referring to was eliminated along with the middle terms in the denominator in the previous step. Only 7-2 remains in the denominator to yield 5 as a result.
When adding radicals, you only add the coefficients on the common roots. The roots are only changed when multiplying or dividing and don’t change when combining like terms.
Just leave it like that Carly. You can't add the 15 and 2√2 because they are unlike terms and the "2" is a part of 2√2 and can not be added without the √2.
On that second problem what if instead of the radical being the denominator it was the numerator and the number without the radical was the denominator?
For the final answer where it as -2 sqrt 14 my understanding that part of the answer was generated by multiplying -2 by 14 which is -28, is this correct?
Jonathan Kelly -√(14) and -√(14) have a sum of -2√(14). Check out our Adding and Subtracting Radicals videos: ruclips.net/video/xQ-esyi_ziM/видео.html and ruclips.net/video/qkve0IX77kw/видео.html
@@FortBendTutoring GOT IT!!!! It was right in my face.I will not disturb THE OMNIPOTENT MR.WHITT.For my ignorance I shall sacrifice many math problems in YOUR HONOR!!!!!
+Nyrrah Jane Polvorosa When combining like terms in the numerator, like signs add and unlike signs subtract. 7 + 2 is 9 and -sqrt(14) -sqrt(14) is -2sqrt(14).
+Fort Bend Tutoring ty so much Mr. Witt actually we have assignment right now and I'm confused..it's like this √x-√y over √x+√y and in the part were it's like this already x-√x•y-√y•x+y and I don't know what to do..can you help me Mr.Witt.. please😃😃😃
![Solving Radical Equations [fbt]](http://i.ytimg.com/vi/NGag3kmub9o/mqdefault.jpg)
![Solving Radical Equations [fbt]](/img/tr.png)
![Multiplying Radical Expressions [fbt]](http://i.ytimg.com/vi/NQE-scWKDlw/mqdefault.jpg)
![Adding Radical Expressions [fbt]](/img/1.gif)
Here's some helpful timestamps 4 this [fbt] radicals video!
[fbt] Timestamps
00:24 [1] √(6) / √(2)
01:43 [2] 6 / √(2)
03:46 [3] √(32/6)
05:30 [4] -3 / ³√(54)
07:45 [5] 5 / (3 - √(2))
09:58 [6] (√(7) - √(2)) / (√(7) + √(2))
Peace,
Mr. Whitt
I know this is an old video but I have to say your voice, humor, and lecture style is on point. 🙏🏼
The way he explained things was so easy to understand thank god 😩😩
This Tutor has flavor ladies & gentlemen mmhmm :-)
Omg focus to his genuine goal not to his expression. Better say thank you sister
great teacher made me understand in a second gold medal to this guy
I have a test tomorrow and I'm cramming right now!
+Krishawn Rucker Good luck 2 you Krishawn! I'm rooting 4 you!
Fort Bend Tutoring is that a mathematical pun?
It is now! 🤣👨🏾🏫
I like his thoroughness. He was very easy to understand as he was defining terms as he worked through. Many times teachers leave out pertinent comments that make the process clear. Thank you sir!
Thanks 4 your wonderful and thorough feedback! It's greatly appreciated!
Thanks for the video! This is the only video on this subject that I can understand clearly!
fbt makes it easy to grasp the concept. Thank you Mark...
Happy 2 help!
Explained in 13 minutes what took my math teacher 3 days and this made much more sense!
Glad I could help!
I know my teacher thought she could teach it in a day, This made it so much easier :)
TheBgCreations cuz hes black
mmmmmhmmm mhm.
Lol! mmmmhmm
+Fort Bend Tutoring she wants your D
I deliberately looked in the comments to see who was the first person to point this out!! hahaha
Melanie V 😂😂😂😂
Thank you thank you so so much.Your making it much more understandable than how my teacher explains it.My exam is tomorrow and this helped me a lot :)
+Nellwyn nananana Good luck on your exam Nellwyn! I'm rooting 4 you!
the best video easy to undersnad from the master of math
Thanks
You're very welcome! This comment made my day Hassan! Thanks! :-)
"And that's it. That's your answer. Mhm." Love your voice and the easy to learn teaching!
Thanks 4 the love Amy! I really appreciate it! 👨🏾🏫😁
LOVE. THIS. GUY. I've seen about a dozen other videos on this topic and still get wishy-washy but this guy is on it and he's pretty entertaining to listen to "mmhm!"
Glad you liked the video Courtney! Thanks 4 sharing! 👨🏾🏫😁
Thank you for your kind lessons, and you're so powerful teacher, I'm following your video everyday in the morning, I live in the UK, but because I would like to reach A LEVEL.
Good luck Ali! I’m rooting 4 you! 👨🏾🏫😁
I love the enthusiasm you have for math!! It almost made me reevaluate my hate for it lol. Since math is a necessity though , I really enjoyed the lesson...helped a lot.
Glad you enjoyed it Michelle! Thanks 4 the feedback!
You are hilarious! You make learning so much more enjoyable!
Thanks Poopy Poo! I'm happy 2 help!
An awful amount of pure talent. Many thanks.
Thanks 4 the kind words Vasco! I really appreciate it!
You teach a wonderful -easy to follow and entertaining class. Excellent delivery. Mmm Hmm. Thank you! I feel more assured.
You are a very good teacher and I am now a new fan of your videos. You make learning fun and hilarious. Thank you
+Isaiah Edmonson (iceobeasty) You're very welcome Isaiah! Thanks 4 your feedback!
Hi my name is Peter and I thank you Mr. Witt for these videos. Tomorrow is our exams and its about radicands and I thank you for helping me learn. Kepp making videos! hahaha
You got it Peter! Good luck on your exam and thanks 4 your feedback! :-)
Ladies and gentleman Hmmmm. Hahaha so funny.I enjoyed it all!
+Kyla Mae :-) Glad you liked it Kyla! Thanks 4 watching!
You're welcome Mr.Whitt
Thank you so much I have a test on this tomorrow and I don't think I would've even been able to do it if I wouldn't have watched this.
+Emma Nelson Nelson Good luck on your test Emma!
Too fast for me. Thank goodness for the pause and rewind option. I' m trying to learn so I can help my 8th grader. Thanks, I have a better understanding. I'll be checking out your other videos. Thanks again.
Happy 2 help Gea!
You helped me a lot for our finals later! Thank you!
Thank you so much for helping me! I didn't really understand our lesson for today at school and we have a quiz tomorrow so I checked out youtube videos and I ended up here :) Thank you again!
Nice! Thanks 4 stopping by Danica! Happy 2 help!
thank you soooo much i needed this desperately, my teacher can’t teach at all
Happy 2 help! 👨🏾🏫😁
this very cool. I like your videos! Also, if you want to use a similar process of using conjugates when dividing cubic radicals, this process is called using a sum or difference of cubes. Just like how you used conjugates in the form of (a+b)(a-b), with cubes you can use (a+b)(a^2-ab+b^2) and (a-b)(a^2+ab+b^2)
Awesome tip! Thanks 4 sharing!
Thank you very much. I love this video!
Dude this channel have all I need to pass my math XD Thank you so much!
+Madara Uchiha My pleasure Madara! Happy 2 help! 😁
Do u have videos about radicals with different index? You're really a lifesaver sir thanks for your vids
I thank God for you because before I saw this video , I did not understand rationalizing. Thank you
Wonderful wonderful wonderful 😊 you saved my math butt for my test tomorrow... Thanks so much :)
You're very welcome! Good luck 2 you and your math butt on your test! LOL
haha it went pretty good ;)
you were very easy to follow in directions 2021 !!!!!
Happy 2 help Jackie! Thanks 4 the feedback! 😁👨🏾🏫
THIS HELPED ME SO MUCH KING THANK YOU!!
Thank you for your help you made me under stand this topic better.
This really helped me. Thank you so much!
You are an awesome teacher.
Thanks Katina! I really appreciate your feedback!
thank u so much.it helps me.thanks
Great explanations, but I know I'm going to have a problem remembering how to work those roots in the denominator that are cubed roots, fourth roots, and fifth roots, etc. But if I write this comment, it will help me to remember: So as I understand it, if we have a 4th root of 3 in the denominator, we must multiply it and the numerator by the fourth root of 21, and if we have the 5th root of 4 in the denominator, we must multiply the numerator and denominator by the 5th root of 256, etc. Please correct me if I'm wrong.
I had to stop the video and go back over that part to understand the relationships of the numbers, but I think I'll get it. I just always have to know "why" something is true and prove it to myself when I don't immediately grasp it intuitively.
Thank you for your hard work and caring attitude, you've helped a lot of people of different ages and from all walks of life to learn (or re-learn) math.
In your example of having the fourth root of 3 in the denominator, you would multiply the numerator and denominator with the fourth root of 27 (the result of 3^3 which is needed to make a perfect 4th).
@@FortBendTutoring Yes, what was I thinking?? Of course it;s 27, not 21, but I guess I was trying to keep too much on my mind and I wanted to get it "on paper" too fast. Plus I was cooking my French toast at the time (excuses, excuses : ) Thanks for the correction and quick response.
French toast is the 💣!
this helped me out so much. thank you!
+TheDetermined One Happy 2 help! Thanks 4 watching!
this honestly helped me a lot thank u so much
You're very welcome! Thanks 4 the feeedback!
All I can say is thank you
I appreciate the feedback Noureddine and you’re very welcome!
OMG ur blessed, my teacher just doesn't know how to explain anything. Or maybe i'm just stupid, idk. Anyways, back to the point. Love the way u explain and teach in general, this vid saved my ass as well for a test tmrw like what Chelsae Rae said. ;P
Woah! Great Video!
Thanks 4 the support Shravan!😁
Anytime!
I understand it so easily its awesome😄😄😄😄
+Liann Kien Happy 2 help Liann! Thanks 4 watching! 😁
Nice explanations
Thanks 4 the support Gizachew! 👨🏾🏫😀
rooting 4 you
i love you man thank you soooo much
+Brandon Lite (WTFO) I love you 2 Brandon! Thanks 4 watching!
thank you thank you so much, this really helped!!!
Happy 2 help Christopher! 👨🏾🏫😁
Once again saved me for exams :)
Happy 2 help Gianny! Good luck on your exams! :-)
Great work Mr.Whitt
Thanks!
Can u help me using Google hangouts
Sure! However, one-on-one tutorials are a part of our paid services and can be initiated through our website www.tutormemath.net.
Ok
Thank you for posting this video! Even though the explanation is fast, I understand it and I think it is also helped me improve my hearing. Really! It helped me a lot but can you do more complicated problems? Thank you sir in advance!
Thanks 4 watching Ayeen! We'll add your request 2 our list of videos 2 do!
2:13 I felt that mhm
Very helpful!
Happy 2 help Nilda!
Thank you so much!! Your videos are really a great help! Hope you're not going to stop making videos hahaha :D
+Dionne Varela We'll keep going as far as we can. Support from the online community can help with sharing, liking, comments and donations.
Thankyou so much!
+Kim Lorraine Reblora You're very welcome Kim!
Mr. Whit ,
I thank you greatly! I always freeze when I see a square root sign, but I'm off to practice... if I don't get it, I'll be back [lol]
You're welcome and good luck 2 you David!
Fort Bend Tutoring
I got one right! ...and my Mom was a Statistician professionally. It's gotta be somewhere in here! [lolol]
Wow! That sounds scary! I can't stand Statistics! Lol
Very good thank you
You're very welcome Salma! Thanks 4 watching!
Hi, Do you have any video for solving Divide cube and fourth root Radical Expressions? please give me a link . thank you
On problem no.5, cant i just multiply the numerator and the denominator wint negative square root of 2 instead of the "conjugate"
+Jhey Brent Bondoc No
thank you so much for the help :)
You're welcome Byd!
:)
your videos always help me in my algebra class so just want to say thank you for doing a very good deed for many. I have an equation I'd like your assistance with 5/5x-11 + 4/2x-3 = -3/5-x
+Ma Majah This should help: ruclips.net/video/BHEEoiqGC1Y/видео.html
I watched this one before and it helped a little. thanks
+Ma Majah If you need more assistance, you can schedule a paid online tutorial at www.TutorMeMath.net or check our recommended channels list for a video on the topic.
okay.. thank you!!
For the final answer where it is - 14 sqrt - 14 sqrt is the answer for that portion -28 sqrt and from -28 do you get 2 sqrt 14 by multiplying 14 times two to get 28?
Hey, your videos are really helpful and very clear to understand. But i have one question, when im solving these type of problems with radicals and fractions in it, what order do i follow? I mean how will I know if I should factor out a number, cancel out number, simplify radical, or divide the radicals first? Also what about BEDMAS rule? do we follow BEDMAS in these type of questions too or not?
Yes, BEDMAS can be applied and it can be frustrating as different problem types are best solved a certain way. My advice to you is to solve as many problems as possible so that you’re exposed to various types so that you’ll know how to solve them when you’re tested.
Thank you sir!
i love your way . awesome video but in no.4 in the denominator the difference of 2 squares identity could be used right ?
+Akram Souki I presume you're referring to problem numbers 5 and 6. Yes, it's the difference of squares identity that helps this process to work.
What is the device you are using to write these problems out?
what happens when the result has a denominator with a negative number?
+Alexandre Juca The answer is negative. You can leave the negative sign in the denominator or bring it in front of the fraction.
mhmmm these radicals have something in common.. mhmm... love this video.
+Teejay Parker lol Thanks 4 the support Teejay!
On number 2 could you have also squared the fraction or would that change the value? Like distribute the ^2 to 6 and to sqrt 2 so then you will get 36 over 2? Then simplify to 18? It is a ‘radically’ different answer than 3 times sqrt 2. May you please clarify for me.
I thought about it and you can’t square it because then what happens is you multiply the top by 6 and the bottom by sqrt 2 which is not rationalizing because it changes the value and ratio by multiplying a different number to the denominator and a different number to the numerator.
tnx! :)
+jose lancelot pa-alisbo You're very welcome Jose!
He had me at mhmm
He got my sub
Thanks 4 your subscription Cory! I appreciate it! 👨🏾🏫😁
Fort Bend Tutoring look at that fast reply! Nothin but love man 😁🙌
Thank you so much ..
Can u do a video on conjugate property ?
+Ram Demesa Sounds good Ram! I’ll add it 2 my list!
On the last problem. when you subtracted the 7 minus a negative 2, shouldn't the demonimator be a 9 instead of the 5 you placed there?
The "minus" sign you're referring to was eliminated along with the middle terms in the denominator in the previous step. Only 7-2 remains in the denominator to yield 5 as a result.
Oh okay. I see it now. Thank you.
I have a question about the answer to last problem. In the last step why isn't the square root of - 14 -14 not added to make -28?
When adding radicals, you only add the coefficients on the common roots. The roots are only changed when multiplying or dividing and don’t change when combining like terms.
In question 2, Why is it the square root of 16 when its supposedly be 4 the square root of 2?
Can you simplify it even if it's not a perfect square?
Sure! Check this video out: ruclips.net/video/M_zIjMICB3k/видео.html
how do I take the sqrt of 9u^3v over the sqrt of uv^11??
Combine the radical signs and use the steps from the last few problems in this video: ruclips.net/video/j-uzACUunrQ/видео.html
For 15 + 2√2 over 7.... Do we add 15 + 2 or just leave it like that???
Just leave it like that Carly. You can't add the 15 and 2√2 because they are
unlike terms and the "2" is a part of 2√2 and can not be added without
the √2.
On that second problem what if instead of the radical being the denominator it was the numerator and the number without the radical was the denominator?
Then it would be a totally different problem.
@@FortBendTutoring ok thanks
Tnx
can you give me a example of a word problem about dividing radical expressions thanks:)
+Allaisa Temelo 😳 No Allaisa. Just google it or check several math textbooks for one.
oohh ok :) Thanks
For the final answer where it as -2 sqrt 14 my understanding that part of the answer was generated by multiplying -2 by 14 which is -28, is this correct?
No. -2 sqrt 14 came from combining - sqrt 14 and - sqrt 14 to get -2 sqrt 14. Remember when combining like terms like signs add.
I am still slightly confused I am afraid! So -14 - 14 - -28, is that corect? Can you break down more for me.
Jonathan Kelly -√(14) and -√(14) have a sum of -2√(14). Check out our Adding and Subtracting Radicals videos: ruclips.net/video/xQ-esyi_ziM/видео.html and ruclips.net/video/qkve0IX77kw/видео.html
Fort Bend Tutoring Thanks i have gone over it before but i will check it again!
What will I do if the given item looks like this: (2 √6 + √9 ) (3 √3 + 3 √2) +√36 - 2 √6?
:) Thanks!! :D
+Dionne Varela Use the steps shown in the "Multiplying Radicals" and "Adding Radicals" video.
In problem 6 how did you get -2 square root 14 in the numerator MR.WHITT?????
I foiled (used the distributive property) the numerators together. Multiplying the two binomials together.
Im talking abt the second part of the problem.In the numerator negative square root 14 minus square root 14 =-2 square root 14.
Yes, like signs add therefore -root 14 and - root 14 result in -2root 14.
@@FortBendTutoring GOT IT!!!! It was right in my face.I will not disturb THE OMNIPOTENT MR.WHITT.For my ignorance I shall sacrifice many math problems in YOUR HONOR!!!!!
I would expect nothing less. 😑
👨🏾🏫😁
That's how we roll.
You know it! LOL
What if the square root sign is at the numerator
Then simplify the square root in the numerator, reduce and you will not need to rationalize the denominator.
what if the equation is sqrt of x plus sqrt of y over 1
+Allyrah Porque I’ll be happy 2 show you! Setup a paid online tutorial session at www.TutorMeMath.net.
why cant you do the steps u did on ex2 on ex1?
+Jhey Brent Bondoc In example 2, the 6 in the numerator is not under a square root symbol.
so i only do that kind of step if i got no radicals on the numerator?
hi Mr.Wit I just wanna ask why is it it's 9-2√14 cause I can't get it...btw tysm Mr. Wit..god bless😘😘😘
+Nyrrah Jane Polvorosa When combining like terms in the numerator, like signs add and unlike signs subtract. 7 + 2 is 9 and -sqrt(14) -sqrt(14) is -2sqrt(14).
+Fort Bend Tutoring ty so much Mr. Witt actually we have assignment right now and I'm confused..it's like this √x-√y over √x+√y and in the part were it's like this already x-√x•y-√y•x+y and I don't know what to do..can you help me Mr.Witt.. please😃😃😃
+Nyrrah Jane Polvorosa I’ll be happy 2 show you! Setup a paid online tutorial session at www.TutorMeMath.net.
+Fort Bend Tutoring thank you so much Mr. Witt but it's paid online we don't have money for that..but thank you so much for everything...god bless😃😃
new drinking game: every time he says ladies/gentlemen & mmhmm , imma take a shot of whiskey
Sorry Alexandra, that game is not new.👨🏾🏫😎
What i can't understand is that PERFECT CUBE ROOT and how to get it.... *sigh*
isn't a negative square root 14 and a negative square root 14 equal a negative square root 28, which simplifies to a negative 2 times square root 7?
No, the radicands don’t add. Only the coefficients.
@@FortBendTutoring Thank you!
Why that extra step?
Which example are you referring 2?
hold on, hold on, hold on. At what grade are you supposed to be learning this? Cause I think I started too early.
+Thatfangirl32 Thatfangirl32 Usually, by the 9th grade.
Mhm
mhmm
Mmm hmm...Lool ur funny...Thx Much!
You're very welcome Sarey!