08 - Rules to Multiply & Divide Radicals in Algebra (Simplifying Radical Expressions)

Рет қаралды 222,411

5 жыл бұрын

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: 151

@LCC2731 3 жыл бұрын

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~👍

@yuryverduga3945 3 жыл бұрын

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 2 ай бұрын

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@nikki6756 10 ай бұрын

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 2 ай бұрын

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@michaelcastrillo3189 3 жыл бұрын

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 9 ай бұрын

At least you memorized them. 😂 Hopefully I'll improve myself

@MYfriendsknow 2 жыл бұрын

YOU deserve the Nobel Peace Prize for teaching!!!! Watched a thousand videos and all of yours are the best. Thank you!

@Veziahh 3 жыл бұрын

What an experienced teacher! he uses hand motions to explain to his viewers.

@Max47340 3 жыл бұрын

Awesome video on radicals! I finally understand these damn things! Thank you sir.

@godlytrusted5957 24 күн бұрын

You are out of this world continue with the good work may the almighty God bless you

@gameliadeti2967 2 жыл бұрын

I love the way this man teaches because, i understand almost everything he has been teaching

@michaelkruppenbacher1711 9 ай бұрын

This is amazing. Better than any teacher I've ever had. Thank you

@225rip 3 жыл бұрын

Great, you always go the extra step to explain everything.

@dertalexhien2077 Жыл бұрын

Sir, thanks. By the way, you always let one bear in mind how much everyone wasn't born with math. You're honest!

@lukemanforgah1105 4 жыл бұрын

Absolutely phenomenal video.

@sapoman01 11 күн бұрын

Thank you for the video. It's awesome I learned A LOT

@stuckntheclouds 3 жыл бұрын

You're such a patient teacher. :) Thank you!

@jazmynephillips7566 4 жыл бұрын

My favorite KZfaq teacher, wish you where my teacher growing up lol

@belindar-s9034 3 ай бұрын

These videos help me more than any math teacher I had all through school!! Thank you!

@canadianRadio Жыл бұрын

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!

@rorandkandjeke-hz2qf 4 ай бұрын

i realy love this teaching style it makes me understand much more

@leslieixen4208 3 жыл бұрын

Love your teaching style. So easy to understand.

@jbstepke3 Жыл бұрын

I just love the way he explains things, easy to understand! Made my life easier! Thank you!

@MathAndScience Жыл бұрын

You are very welcome!

@bakytkamchybekovichstndv1440 Жыл бұрын

Thank you for your absolutely unique math videos.

@aa-ng4ot Ай бұрын

Extremely useful video. Thank you so much!

@POMMI 4 жыл бұрын

Mathematics teachers know this! Thanks for the clear explanation! Im doing the same thing in my channel! Thanks for sharing

@halmoujahed Жыл бұрын

Thank you so much ...from Syria

@jaaayare4996 3 жыл бұрын

Yo why do I like learning all of a sudden...I think I found my love for learning again thank you man

@FranklinVan-of6yd 4 ай бұрын

Thanks for helping me with my math

@albertomartin70 4 жыл бұрын

Anyone looking for “Saul Alinsky Rules for Radicals” and end up here thanks to KZfaq’s PC filter? 😂

@ethiopiamovies1289 Жыл бұрын

BEST TEACHER

@tacosyogan9914 3 ай бұрын

Super Teacher in action!

@236ar 4 жыл бұрын

I understand this perfectly thank you sir

@Ayalt61 2 жыл бұрын

OMG I LOVE YOU SO MUCH. You're a hero for sure !!!!!! so well explained like in every detail. THANK YOU SO MUCH ❤

@leslielangaylangay9295 3 жыл бұрын

I love your videos, keep it up Sir!

@glenwardgross366 8 ай бұрын

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 KZfaq. I hope they appreciate you because you are an awesome teacher.

@princesscoleensantos1210 2 жыл бұрын

Such a great help! Thank you so much 💕

@malviyagirl 3 жыл бұрын

love all your videos!!!

@vijaykarena3388 2 жыл бұрын

Awesome dear brother... Love you so much 🤩🤩

@navalkumarverma9589 11 ай бұрын

Sir you are teaching in very well way

@mrchenschineseclass 2 жыл бұрын

Thank you Sir. You are truly amazing!

@namylove 3 күн бұрын

Thank you

@googleuser7945 Жыл бұрын

Excellent. Watching for the third time now

@baskarv7975 Жыл бұрын

you are really Great God Blessed You :) Love you from India :)

@Veziahh 3 жыл бұрын

Istg my school thinks we already know this like they skipped this lesson. Thank u!

@celestinahutchinson7237 Жыл бұрын

Explanation very clear

@MathAndScience Жыл бұрын

Glad you liked it

@mohdmusabusmani2654 2 жыл бұрын

Nice explanation Love from INDIA 😎😎😎

@rabiyaahmad437 3 жыл бұрын

Really sir very impressive explanation 👍👍👍👍 From india

@richardhallahfarkollie4345 3 жыл бұрын

Thank you for making me to understand readical,

@EM-wd8wq 5 жыл бұрын

This Guy, Is the greatest man in the World. Period

@MathAndScience 5 жыл бұрын

I really appreciate it! Jason, MathAndScience.com

@StoryTeller796 Жыл бұрын

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.

@r.myadav5956 4 жыл бұрын

Nice teachings

@justineberioso3632 3 жыл бұрын

MINDBLOWN

@lauren9004 7 ай бұрын

Thank you!

@leapsom3471 3 жыл бұрын

I always go to school again with you even though i am far away from school almost 30 years ago

@clover..H 2 жыл бұрын

Your channel is very helpful 🍀

@MathAndScience 2 жыл бұрын

Thank you!

@averagehooligan620 Жыл бұрын

I like your channel.

@hanifullah3408 2 жыл бұрын

You are great sir

@Juan-yj2nn 3 жыл бұрын

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

@sachinambike4574 4 жыл бұрын

THANK YOU!!!!

@abx4t Жыл бұрын

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?

@reginaacod940 3 жыл бұрын

Make a video about properties of radicals

@niceguy4801 3 жыл бұрын

Thankyou a lot sir!

@twostormy Жыл бұрын

This really helped me a lot thx

@Rasha.Hussein44 Жыл бұрын

Hi do you have any advice on college algebra clep and how to prepare for it !!

@tresajessygeorge210 Жыл бұрын

THANK YOU... SIR...!!!

@allaroundervideoshort6447 4 жыл бұрын

Thanks for yuu

@shnoqadr372 4 жыл бұрын

Thanks for you

@MathAndScience 4 жыл бұрын

Welcome!

@williamjayaraj2244 4 жыл бұрын

Excellent teaching. Thank you sir.

@trycatchlearn 4 жыл бұрын

you are awesome.

@kamlesharya6955 2 жыл бұрын

Thanks sir

@eccentricaste3232 Жыл бұрын

Wow! Amazing. Didn't know it was commutative. Where do i sign up?

@tavi_elli 3 жыл бұрын

Amazing

@damon123jones 3 жыл бұрын

good job, and thankyou. I find radicals are brain bending

@newtao8384 2 жыл бұрын

Hi from Brazil! What can i do to symplify/solve when i have something like √(2- ∛5)?

@eccentricaste3232 Жыл бұрын

The answer is in decimal.

@wagneribanez2 4 жыл бұрын

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

@rhee12g 3 жыл бұрын

Thank you so much

@MathAndScience 3 жыл бұрын

Welcome!

@ArtClaux 3 жыл бұрын

One of the best teachers!

@magedx7059 8 ай бұрын

Awesome

@diamond-heart21 Жыл бұрын

21:00

@kontraz3061 3 ай бұрын

1:49

@mousquetaire86 7 ай бұрын

Love the thumbnail! I wonder how many people will get the reference ;)

@vascobishop3359 6 ай бұрын

What happened Jason? Is there a 5 shadow in the equations?

@brightonchou1393 4 жыл бұрын

people in what country write radical sign that way?

@arundarksiderise6816 2 жыл бұрын

Smby give me the link to the playlist pls

@itzzkundan 3 жыл бұрын

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

@MYfriendsknow 2 жыл бұрын

I already watched on another device - just came here to "like" the video.

@rhee12g 3 жыл бұрын

Literally why can't my teachers be like that

@domaidomai8057 4 жыл бұрын

makes sense!

@edmundtrebus4084 2 жыл бұрын

legend

@lucascookson4520 2 жыл бұрын

him: ok lets add 1 more here because I like even numbers *jots down a 5*

@sannahtabassum8282 3 жыл бұрын

Hats off sir.....

@mathfullyexplained 3 жыл бұрын

Try my channel mathfullyexplained. Many topics that can help you succeed

@TheRandomMan000 3 жыл бұрын

This save me from my math teacher

@mathfullyexplained 3 жыл бұрын

Try my channel mathfullyexplained. Many topics that can help you succeed

@angelojustinezaraspe9214 4 жыл бұрын

Why does Brian Mclogan not bald in this video? HAHAHAHA

@AmanSingh-or6yf 3 жыл бұрын

Why does you not look fat in your photo

@deeanstefan9856 5 жыл бұрын

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