Video není dostupné.
Omlouváme se.
08 - Rules to Multiply & Divide Radicals in Algebra (Simplifying Radical Expressions)
Vložit
- čas přidán 13. 05. 2019
- View more at www.MathTutorDV....
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.
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
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.
@@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.
@@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.
@@joeanderson2024 So all I really need to know is the first quadrant.
Agreed~👍
This guys is actually the best math tutor because of THE MEANING behind the math that other youtube math tutors aren't teaching
Aman.
cap sassy baka
@@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.
Agreed.
Actually dustering my brain.
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!
Me toooo!!! Good luck! Not an easy thing to do!
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.
Awesome video on radicals! I finally understand these damn things! Thank you sir.
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.
You are out of this world continue with the good work may the almighty God bless you
This is amazing. Better than any teacher I've ever had. Thank you
You're such a patient teacher. :) 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!
Absolutely phenomenal video.
These videos help me more than any math teacher I had all through school!! Thank you!
Thank you for the video. It's awesome I learned A LOT
Love your teaching style. So easy to understand.
I just love the way he explains things, easy to understand! Made my life easier! Thank you!
You are very welcome!
I want to be a math and science teacher one day, and you are a serious inspiration to me. Thank you.
What a nice comment. Thank you!
Thank you for your absolutely unique math videos.
My favorite CZcams teacher, wish you where my teacher growing up lol
Extremely useful video. Thank you so much!
Anyone looking for “Saul Alinsky Rules for Radicals” and end up here thanks to CZcams’s PC filter? 😂
Mathematics teachers know this! Thanks for the clear explanation! Im doing the same thing in my channel! Thanks for sharing
i realy love this teaching style it makes me understand much more
Thanks for helping me with my math
OMG I LOVE YOU SO MUCH. You're a hero for sure !!!!!! so well explained like in every detail. THANK YOU SO MUCH ❤
This Guy, Is the greatest man in the World. Period
I really appreciate it!
Jason, MathAndScience.com
Yo why do I like learning all of a sudden...I think I found my love for learning again thank you man
I understand this perfectly thank you sir
love all your videos!!!
Good explanation 👍👍👍
Super Teacher in action!
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 CZcams. I hope they appreciate you because you are an awesome teacher.
BEST TEACHER
Thank you so much ...from Syria
Love the thumbnail! I wonder how many people will get the reference ;)
Thank you for making me to understand readical,
Sir you are teaching in very well way
you are really Great God Blessed You :) Love you from India :)
Excellent. Watching for the third time now
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
Thank you!
Nice teachings
Awesome dear brother... Love you so much 🤩🤩
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?
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.
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
I always go to school again with you even though i am far away from school almost 30 years ago
Thank you Sir. You are truly amazing!
Make a video about properties of radicals
Istg my school thinks we already know this like they skipped this lesson. Thank u!
Thanks for yuu
Such a great help! Thank you so much 💕
Really sir very impressive explanation 👍👍👍👍
From india
THANK YOU!!!!
Your channel is very helpful 🍀
Thank you!
I like your channel.
Thanks for you
Welcome!
Explanation very clear
Glad you liked it
Nice explanation
Love from INDIA 😎😎😎
This really helped me a lot thx
Wow! Amazing. Didn't know it was commutative. Where do i sign up?
MINDBLOWN
I love your videos, keep it up Sir!
THANK YOU... SIR...!!!
Thanks sir
Hi do you have any advice on college algebra clep and how to prepare for it !!
You are great sir
Awesome
21:00
Thankyou a lot sir!
1:49
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
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 🙏
Even exponents of Negative numbers are positive. Your example does not work. Exponent rules apply to positive bases. Try my channel mathfullyexplained
Excellent teaching. Thank you sir.
Thank you so much
Welcome!
What happened Jason? Is there a 5 shadow in the equations?
Hi from Brazil! What can i do to symplify/solve when i have something like √(2- ∛5)?
The answer is in decimal.
I already watched on another device - just came here to "like" the video.
One of the best teachers!
good job, and thankyou. I find radicals are brain bending
Thank God I've learned english to be able to watch this the phenomenal class. Thanks a lot
Try my channel mathfullyexplained. Many topics that can help you succeed
Amazing
Smby give me the link to the playlist pls
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 .
Try my channel mathfullyexplained. Many units on quadratics. Unit on discriminant in alg 2 has parameters of k
legend
people in what country write radical sign that way?
you are awesome.
Just use the numbers please. For my very confused mind cannot make a number out of a letter...sigh.
makes sense!
If this also applies to subtraction, you can find proof that i = -1
Aap ka country kya hai
him: ok lets add 1 more here because I like even numbers *jots down a 5*
Literally why can't my teachers be like that
Hats off sir.....
Try my channel mathfullyexplained. Many topics that can help you succeed
This save me from my math teacher
Try my channel mathfullyexplained. Many topics that can help you succeed
Why does Brian Mclogan not bald in this video? HAHAHAHA
Why does you not look fat in your photo
Smh, this man is not a human
Hi hello y'all 👋👋
Go for physics wallah Alakh Pandey