08 - Rules to Multiply & Divide Radicals in Algebra (Simplifying Radical Expressions)
View more at www.MathTutorDVD.com.
In this lesson, you will learn the rules that are needed to multiply and divide radical expressions in algebra. This is made much easier now that we have covered that fact that all radicals are really fractional exponents.
Because of this, all of the rules to multiply and divide radicals are really the same rules that we use to multiply and divide exponents.
Пікірлер: 149
This guy is underrated. These rules are super important as you move to calculus and most people don't understand them. Thanks for the vid
@user-qy6tu9ip9v
3 жыл бұрын
Hey buddy. Could you possibly write down a list of skills that I should know from pre-calculus so I can do well in calculus. I don't mean to bother you.
@LCC2731
3 жыл бұрын
@@user-qy6tu9ip9v Everyone's experience will be different; therefore, take these suggestions with an open mind. Three main things I wish someone had told me before taking Calculus 1 would be; first know the Unit Circle values exceptionally well. Memorizing the unit circle values will make your calculus experience considerably easier and save you time on homework and exams. The second tip I would offer, which is often overlooked, would be to strengthen your algebra skills as much as possible, especially simplifying rational expressions, rationalizing the numerator/ denominator, and exponent rules. Overall, having a solid foundation in algebra will make Average Rate of Change, limits, and chain rule problems, just to name a few, much easier. Lastly, knowing the graphs and aspects of common functions such as f(x)=squarootx, f(x)=x^3, f(x)=ln(x), f(x)= e^x, and any other common functions will make your life easier in Calc 1, because you will work with these graphs quite often throughout the course. Especially when you start working with extreme values, concavity, and inflection points.
@joeanderson2024
3 жыл бұрын
@@user-qy6tu9ip9v working off @Lamond first point, you will have to know the radian measurement for the main angles for trig (0*,30*,45*,60*,90*). I’m using * as a degree symbol since there isn’t a degree symbol on a keyboard They are sin0*=0, sin30*=1/2, sin45*=√(2)/2, sin60*=√(3)/2, and sin90*=1 Cos of angles (0*,30*,45*,60*,90*) is the same as sin (90*,60*,45*,30*,0*) respectively I could never remember the table because the numbers (1/2 and √(3)/2, for example) don’t make sense because they don’t really have a pattern, some have square roots, som don’t. That’s the biggest reason I failed trig. I later learned all of them have square roots, Sin (0*,30*,45*,60*,90*)=√(0)/2=0/2=0,√(1)/2=1/2,√(2)/2,√(3)/2,√(4)/2=2/2=1 respectively Cos(90*,60*,45*,30*,0*)=√(4)/2=2/2=1,√(3)/2,√(2)/2,√(1)/2=1/2,√(0)/2=0/2=0 respectively Seems very easy when somebody tells you but not something you would think about on you own.
@user-qy6tu9ip9v
3 жыл бұрын
@@joeanderson2024 So all I really need to know is the first quadrant.
@JarodM
3 жыл бұрын
Agreed~👍
This guys is actually the best math tutor because of THE MEANING behind the math that other youtube math tutors aren't teaching
@kingtriplebbb5347
3 жыл бұрын
Aman.
@bernalesjames9110
2 жыл бұрын
cap sassy baka
@frostedolive4969
Ай бұрын
@@bernalesjames9110 ur parents dont love u stupid dumb idiot💀💀💀💀💀💀💀💀💀💀💀💀💀💀
I absolutely love your teaching style. So many concepts I have memorized throughout the years without ever truly understanding what was going on. Thank you so much for explaining these things in the way you do. I honestly feel like you're one of the best teachers Ive ever seen, in person or online.
@jessicaowens7592
2 жыл бұрын
Agreed.
@emmanueltjohnson7149
2 жыл бұрын
Actually dustering my brain.
@SoulSearch11110
8 ай бұрын
At least you memorized them. 😂 Hopefully I'll improve myself
As someone who had returned to school after 20 years in my current industry to finish my BA, I must say how invaluable your videos have become to me. Last i was in school, youtube wasn't a thing and I struggled so much back then. I literally want to cry from relief because you have made this so much easier to understand. I opened my math book and almost gave up. I couldn't get any of this and suddenly i was 19 again and walking away from school. But I'm trying harder than i ever tried with math and I'm finally getting it. Thank you from the middle age student who needed this so bad. Thank you!
@belindar-s9034
3 ай бұрын
Me toooo!!! Good luck! Not an easy thing to do!
@frostedolive4969
Ай бұрын
imagine returning to schol u stupid person
YOU deserve the Nobel Peace Prize for teaching!!!! Watched a thousand videos and all of yours are the best. Thank you!
What an experienced teacher! he uses hand motions to explain to his viewers.
I love the way this man teaches because, i understand almost everything he has been teaching
Great, you always go the extra step to explain everything.
This is amazing. Better than any teacher I've ever had. Thank you
You're such a patient teacher. :) Thank you!
Awesome video on radicals! I finally understand these damn things! Thank you sir.
Absolutely phenomenal video.
Love your teaching style. So easy to understand.
You are out of this world continue with the good work may the almighty God bless you
These videos help me more than any math teacher I had all through school!! Thank you!
Sir, thanks. By the way, you always let one bear in mind how much everyone wasn't born with math. You're honest!
Thank you for your absolutely unique math videos.
My favorite KZread teacher, wish you where my teacher growing up lol
I just love the way he explains things, easy to understand! Made my life easier! Thank you!
@MathAndScience
Жыл бұрын
You are very welcome!
Mathematics teachers know this! Thanks for the clear explanation! Im doing the same thing in my channel! Thanks for sharing
Yo why do I like learning all of a sudden...I think I found my love for learning again thank you man
i realy love this teaching style it makes me understand much more
OMG I LOVE YOU SO MUCH. You're a hero for sure !!!!!! so well explained like in every detail. THANK YOU SO MUCH ❤
Extremely useful video. Thank you so much!
love all your videos!!!
Such a great help! Thank you so much 💕
I want to be a math and science teacher one day, and you are a serious inspiration to me. Thank you.
@MathAndScience
Жыл бұрын
What a nice comment. Thank you!
I understand this perfectly thank you sir
I love your videos, keep it up Sir!
Thank you Sir. You are truly amazing!
Anyone looking for “Saul Alinsky Rules for Radicals” and end up here thanks to KZread’s PC filter? 😂
Thank you so much ...from Syria
Thanks for helping me with my math
MINDBLOWN
Thank you for making me to understand readical,
Awesome dear brother... Love you so much 🤩🤩
Excellent. Watching for the third time now
you are really Great God Blessed You :) Love you from India :)
BEST TEACHER
Sir you are teaching in very well way
THANK YOU!!!!
I do not know your name but (name) your are awesome... You explain stuff like I do. Where ever you teach at other then on KZread. I hope they appreciate you because you are an awesome teacher.
Thank you!
This Guy, Is the greatest man in the World. Period
@MathAndScience
5 жыл бұрын
I really appreciate it! Jason, MathAndScience.com
Thank you
This really helped me a lot thx
Really sir very impressive explanation 👍👍👍👍 From india
I always go to school again with you even though i am far away from school almost 30 years ago
Nice teachings
Hi do you have any advice on college algebra clep and how to prepare for it !!
Nice explanation Love from INDIA 😎😎😎
Your channel is very helpful 🍀
@MathAndScience
2 жыл бұрын
Thank you!
You are great sir
THANK YOU... SIR...!!!
Thankyou a lot sir!
Super Teacher in action!
Explanation very clear
@MathAndScience
Жыл бұрын
Glad you liked it
Istg my school thinks we already know this like they skipped this lesson. Thank u!
Thanks for yuu
I have a question. If 2^3 x 2^3 = 2^6 then why would a fractional exponent not be added? like for example @10:27 2^1/3 x 2^1/3 should = 2^2/3, no? I mean multiplying exponents we add... and 1/3 + 1/3 = 2/3, no?
I like your channel.
you are awesome.
Amazing
Thanks sir
Thanks for you
@MathAndScience
4 жыл бұрын
Welcome!
Awesome
Excellent teaching. Thank you sir.
Love the thumbnail! I wonder how many people will get the reference ;)
One of the best teachers!
Thank God I've learned english to be able to watch this the phenomenal class. Thanks a lot
@mathfullyexplained
3 жыл бұрын
Try my channel mathfullyexplained. Many topics that can help you succeed
Before I watch this video, here's my theory as to how radicals work. They basically have the same relationship with division that powers have with multiplication, with some extra rules because reducing and multiplying something is much harder than simply adding or subtracting it (the number 0's multiple paradox's or complications can attest to the court of that along with negatives). Yeah, that makes sense when you put it that way, fractional exponents. What negatives are to positives and fractions to multiplication. Now time to simplify the concept and break it down.
Thank you so much
@MathAndScience
2 жыл бұрын
Welcome!
Hey. I think a good way of explaining the very first rule would be to say: Well, you know, saying that √ab = √a * √b is literally saying that this number (√a * √b), when squared, gives you ab, right? So if you square it, you have (√a * √b)²= (√a)² * (√b)² = a * b = ab. And there you go :) Of course, this only works if both, a and b, are positives or equal to zero. Be careful! PD: The square root, denoted as √, means "POSITIVE square root". So you also have to have that √a * √b is a POSITIVE such that when squared it gives you ab, as we have shown.
@joeanderson2024
3 жыл бұрын
How do you get the exponent up like that. I al do 2^2 as 2 squared. It gets very confusing if you have an exponent such as (2/8)+3
Make a video about properties of radicals
Smby give me the link to the playlist pls
good job, and thankyou. I find radicals are brain bending
Wow! Amazing. Didn't know it was commutative. Where do i sign up?
Hi from Brazil! What can i do to symplify/solve when i have something like √(2- ∛5)?
@eccentricaste3232
11 ай бұрын
The answer is in decimal.
people in what country write radical sign that way?
legend
21:00
I already watched on another device - just came here to "like" the video.
1:49
makes sense!
I really enjoy your videos, they offer great insight into how things actually work, which makes math more enjoyable. Keep it up buddy! Do you have any videos on how a quadratic equation with parameters such as x^2-kx+k+3 can be solved? Or rather what you are suposed to do with them , or understand them in general .
@mathfullyexplained
3 жыл бұрын
Try my channel mathfullyexplained. Many units on quadratics. Unit on discriminant in alg 2 has parameters of k
him: ok lets add 1 more here because I like even numbers *jots down a 5*
I have a question in mind. Why the laws of exponents do not work properly for the base belongs to negative real numbers. For example: (-2)^(12÷4) = (-2)^(3) = -8 we know that. But what if do it by laws of exponents, (-2)^(12÷4) = ((-2)^(12))^(1÷4) = (4096)^(1÷4) = 8
@itzzkundan
3 жыл бұрын
Another question, my scientific calculator showing that , 3√(-8) = -2 And also it is showing (-8)^(1÷3) = 2 × 3√(-1) = final in expanded form it is complex number. Really confused for these negative bases. And I know about exponential functions also in detail. Base cannot be negative etc. So don't give that damn answer. Just give me logical answer if possible. Or make a video on it if possible. Thank you.. Kundan from India 🙏
@mathfullyexplained
3 жыл бұрын
Even exponents of Negative numbers are positive. Your example does not work. Exponent rules apply to positive bases. Try my channel mathfullyexplained
Hats off sir.....
@mathfullyexplained
3 жыл бұрын
Try my channel mathfullyexplained. Many topics that can help you succeed
What happened Jason? Is there a 5 shadow in the equations?
Literally why can't my teachers be like that
This save me from my math teacher
@mathfullyexplained
3 жыл бұрын
Try my channel mathfullyexplained. Many topics that can help you succeed
Smh, this man is not a human
If this also applies to subtraction, you can find proof that i = -1
Hi hello y'all 👋👋
Aap ka country kya hai
Why does Brian Mclogan not bald in this video? HAHAHAHA
@AmanSingh-or6yf
3 жыл бұрын
Why does you not look fat in your photo
Go for physics wallah Alakh Pandey
Just use the numbers please. For my very confused mind cannot make a number out of a letter...sigh.
Dude you look like Joey from full house
They need to stop "throwing" properties at kids 😭