Want to PASS Algebra? Better understand this about SQUARE ROOTS

Рет қаралды 138,711

Күн бұрын

TabletClass Math:
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Algebra help with simplifying square roots and perfect squares. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy.com/
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Пікірлер: 149

@josephg3231 2 жыл бұрын

This soon to be 70 year old cried when in Algebra 1, numbers switched to letters. You are a magnificent teacher!

@chriswebster24 2 жыл бұрын

Ha ha that means you’re 69. Ha ha ha! I’m immature.

@josephg3231 2 жыл бұрын

@@chriswebster24 Wonderful! With math skills like that, what are you doing watching this video!

@dwainmcwilliams2043 2 жыл бұрын

When I was in school in the 60s the sq rt of 20 = 4.472 and 2x sq rt of 5 or 2.2360~ does not equal 20 But that was along time ago in the Ancient ages.

@Not_really 2 жыл бұрын

🤣🤣🤣 Please, don't think for a moment that I'm laughing at you. I'm laughing with you, at myself !!!

@henkhu100 2 жыл бұрын

A magnificent teacher? Any magnificent teacher knows that a square root is never negative! Did you mean: what a very bad teacher?

@lauragriffith1826 2 жыл бұрын

Five minutes in, answering the problem hasn't even begun. I am a parent trying to refresh my memory, and help my kid. Please begin, and save the advice on student habits, until the end. I don't intend snark, and I appreciate your time, thanks.

@richardlapinski8303 2 жыл бұрын

I love that John takes a nice relaxing approach to getting into solving the problem. It reminds of stretching and doing a pregame warmup before the actual game. Splendid!!!

@johns3790 2 жыл бұрын

Lol…I could have used this six decades ago! I’m looking at your videos because, at some point, my grandkids might ask me to help them with their math homework. Seriously though…I wish I’d had a teacher like you when I was trying to understand “Math”. Thank you!

@interstellarconveyance4865 2 жыл бұрын

Wonderful! Thank you. I always push my friends in higher math to refer to their power series to return to the fundamentals of cosmology. I've been studying quarternion mathematics for the last 6 Mos trying to find the simplest solution to vectoring my existence in this universe. I found myself in the right place, however, watching your video I felt oddly closer to understanding the grand unified theory than when I am immersed in quantum mechanics. Thank you for helping my mind relax. I have subbed! ♥️✌🏻😆

@panlomito 9 ай бұрын

Also practical to estimate the value of SQR(20). 4x4=16 and 5x5=25. 20 is almost in the middle but closer to 16 so I would take a chance on 4,4... calculator says 2SQR(5) or 4,472. Plus or minus...

@moffatk7948 2 жыл бұрын

Welldone. The guy is a good teacher. I wish I had such a good teacher who explained maths to such detail. Im sure with such basics anyone would excell and love msths👍

@v-gc7257 2 жыл бұрын

Well explained with patience. Thank you

@opeedoxtromeldee5100 2 жыл бұрын

Dude, too much talk!!! Why don't you get to the point, PLEASE!

@iitjeemathspro 2 жыл бұрын

Kids usually get captivated by this kind of engaging talk... Xd... That's why look at the difference between his and my subscribers 😅

@DGill48 2 жыл бұрын

Yeah, Chemistry and Physics teacher, high school, 39 years. The DRIFT factor... I'd suggest going straight to the core first and fast....then explain....otherwise the kid brain moves away...

@caryjackson1528 2 жыл бұрын

Too much rhetoric. Quit marketing and get to the problem!

@garyordus2383 2 жыл бұрын

Lesson begins at 5: 30

@ronmatthews1738 2 жыл бұрын

Thanks, but I didn't get that far. I got bored of being told how wonderful the presenter was. I only saw this because I was looking through the comments while he droned on and on.

@nikkitytom 2 жыл бұрын

Thank you! I'm so tired of wading through needless drivel to get to the lesson. I used to teach meditation and I gave my students a small card which read " It is so simple". And I made it simple!

@geneloscowski3070 2 жыл бұрын

I'm normally critical of you, since I've taught math for 46 years and your teaching methods are a lot different than mine. However, this presentation is practical and realistic. Good job.

@robertpreisser3547 2 жыл бұрын

Do you teach concepts or memorization?

@geneloscowski3070 2 жыл бұрын

@@robertpreisser3547 No, I'm retired after 49 years of teaching Algebra, Calculus, Theory of Probability, Combinations and Permutations, and advanced math concepts.

@robertpreisser3547 2 жыл бұрын

@@geneloscowski3070 I guess I was curious about your thoughts on the best approach given your experience. I was taught extremely poorly. I remember distinctly being shocked to finally realize on my own that “3 times 5” means adding 5 three times. Instead of just regurgitating the memorized multiplication tables. I never was taught the concepts behind what we were memorizing. I did have an excellent teacher in High School, though, who did a much better job making sure we understood the concepts we were learning, which made a huge difference.

@geneloscowski3070 2 жыл бұрын

@@robertpreisser3547 There are several different mathematical teaching methods. I learned in the "old" days of teaching. It was called the repetition method.

@V1RT8 2 жыл бұрын

@@geneloscowski3070 That’s why it was so boring

@paulyfongemie1648 2 жыл бұрын

I like the talk, you express matters in the manner most of us think out loud.

@tatyanakane9131 2 жыл бұрын

Hi, I need more help in Intermediate Algebra right now to precalculus I’ll have a midterm exam soon in Match, could you record any helpful videos or let me know what book I can buy that has the best explanation? Thanks

@jerzygutowski3170 6 ай бұрын

You are right you're the best

@martcichocki5571 2 жыл бұрын

Thx again for your erudite instruction & passion for MATH.

@klntym 2 жыл бұрын

But what is the final answer (4.4721355 as per google)? I’m trying to remember how we had to write it out and find the answer. Also give an example as to why would I need to know sq rts??? Please and thank you.

@daithi1966 2 жыл бұрын

Damn dude, you're 5 minutes into the video and you still haven't answered the question. I've moved on.

@LK-qz7eh 2 жыл бұрын

Yeah he does ramble a lot!!! I don’t watch him anymore.

@LK-qz7eh 2 жыл бұрын

This guy would take 1+1 and make it into a 20 minute video!😟

@cbesthelper404 Жыл бұрын

Well, obviously you did not move on. You posted this comment.

@trixxianvitolo 4 ай бұрын

@LK-qz7eh Someone needs to do a parody of this guy. "6 x 7" It could be an hour long. "6 is 3 x 2 or 18 over 3... and 7 is a prime number. 7 x 18 equals 126 and 3! is 6... So 126 ÷ 3! in the numerator.... And 126 also equals 120 + 6 or 6×20+6 also the square root of 4 x 63 as a radical..."

@robertbartholomew5330 2 жыл бұрын

i need math taylored to sail boat design. say around 30 ft in lOA. prismatic coefficent, displacement, and heeling moment. is there any coarses that focus on just that topic.

@heidelberg9865 2 жыл бұрын

Por favor, clases en español!!!! Saludos desde México!!!! Muy buen video a pesar del idioma le entendí😉

@josephnardone1250 2 жыл бұрын

In discussing sqrt's, I remember in 9th grade a math teacher teaching how to do sqrt's where the sqrt of 5 could be determined and this was before calculators. Nobody has ever been able to teach me how to do that. In fact she once did the same for cube roots. Could you do a video on those subjects? It seems that is a lost mathematical art.

@jsusna1972 2 жыл бұрын

I remember that as well. You would know that 2 squared was 4 and 3 squared was 9, so the square root of 5 was somewhere between 2 and 3. I can't recall anything beyond that, but you ended up with 2 point something as an approximation. To me, simply reducing these to something like 2 times the square root of 2 doesn't give you the answer to the square root of 8.

@jokindheart 2 жыл бұрын

I need help with math algebra, ratio’s, integers

@aviatorpianokraft 2 жыл бұрын

Might be a good idea to: [a] cut out the "waffle", it was 7 minutes before you said anything of interest [b] use a x sign to indicate multiplication. Using a period is ambiguous and causes confusion for some people Otherwise your style is easy going and likeable. I would have used the Newton-Raphson iterative method

@robertmontgomery1920 2 жыл бұрын

This doesnt explain the counter intuitive element of these problems so it would help if you showed the proof what are the square roots of 5 and 2 and how do you multiply square roots?

@joejoel8962 2 жыл бұрын

A must know to pass algebra, but how does it help us in life?

@UnconventionalReasoning 2 жыл бұрын

Doing taxes... A construction project... Cooking...

@srinivasanj2220 2 жыл бұрын

Give example of three digit square root how to make easy

@JKSelama 2 жыл бұрын

It would be great if it is a 3 minute thing.

@user-kp6js7vp5h 2 жыл бұрын

Going around a block to get home!!!!

@JBond-zf4dj Жыл бұрын

I like the tutorials, but I always have SO many questions that never come up. Solving the basics is great, but so much is left out. How do I find videos that go over more questions / problems? This cuts off too quickly.

@LeopercioTureLLo 2 жыл бұрын

2 x 5¹/² ... precisa todo esse discurso?

@tonykelpie 2 жыл бұрын

Effective notes require understanding, and reinforce the registration of memories

@williampapadopoulos8145 2 жыл бұрын

2 x the square root of 5. Simplified.

@paulm5443 2 жыл бұрын

Isn't this more to do with arithmetic rather than algebra?

@user-ri6rn7ti5h 8 ай бұрын

√20.= √5^4 (x+2x-2)

@MrSummitville Ай бұрын

No!

@PreservationEnthusiast 2 жыл бұрын

Sqrt (20) = sqrt(4) . sqrt(5) = 2.sqrt(5) Eeeeeaaasssyy... did it in 1 second!

@dathyr1 2 жыл бұрын

Yeah I see what you did, but what if you want to simplify or find out what the square root of 5 is? i know this would be (2. and a fractional part) of the answer. Actually the square root of 20 is (4. and a fractional number). Dont you solve for the frational part of the answer - and how without a caluator? We also used to use slide rules to figure out square roots of numbers - before scientific calculators came to exist. i still have my old Versalog slide rule from my college school days learning Electronic designs. Best way I find to do square roots is find the nearest lower square to the number in question. So for square root of 20 the nearest square is 4 which when squared is 16. So the square root of 20 would be (4. and a fractional number). Where the fractional part is done by a long division process (which I found online). So I guess you dont solve for irrational numbers in Algebra.

@stacymelton2566 2 жыл бұрын

lesson starts around 6:05

@charlesspringer4709 2 жыл бұрын

Go to 5:30 to skip the advertising.

@jeffreyking8108 2 жыл бұрын

Why is "2 times the square root of 5" more useful than the "square root or 20?" I suppose it must be but I don't know why!

@tamirutesfaye56 2 жыл бұрын

Are solving the equation? or advertise yourself up to the end?

@MrSummitville Ай бұрын

BOTH ...

@lawks56 2 жыл бұрын

Skip to 5 mins to get past all the introduction

@mendozajovy 2 жыл бұрын

2(5)^0.5

@luisarmandolugo497 2 жыл бұрын

I wish that you would have been my teacher. You're grear@

@luisarmandolugo497 2 жыл бұрын

I meant, "you're are great"

@johnsbibles 2 жыл бұрын

Seems like you like to hear yourself talk. Speed it up! How can anyone watch this? Speed it up, less talk!

@LK-qz7eh 2 жыл бұрын

Yeah for sure I just fast forward. And then all the swallowing and babbling and swallowing. Ugh.

@jeanmorin3247 2 жыл бұрын

Algebra is fun only when you get it.

@irwandasaputra9315 2 жыл бұрын

2√5

@bushtherapy7655 2 жыл бұрын

2 root5

@dreamdiction 2 жыл бұрын

Skip to 5:58 You love the sound of your own voice.

@mendozajovy 2 жыл бұрын

Square root have 2 possible answers. For example square root of 4. The answer is 2 and -2. With respect to square root of 20 the answer is +4.472 and -4.472

@boesftupfm 2 жыл бұрын

Wrong! × squared is 4 ===》x = +2 or -2 × = square root of 4 ===》x = 2 (AND ONLY 2. This is by definition!)

@mendozajovy 2 жыл бұрын

@@boesftupfm But the roots could be positive or negative or we can say there are always two roots for any given number. Hence, root 4 is equal to ±2 or +2 and -2 (positive 2 and negative 2).

@mendozajovy 2 жыл бұрын

@@boesftupfm i was kinda wandering where you got "AND ONLY 2 and this is by definition" 😀😀😀. I will admit in worded problems i normally choose the positive. But when it comes to roots, e.g. square root 16, the answer is -4 and +4.

@boesftupfm 2 жыл бұрын

@@mendozajovy Every positive real number has two square roots; one is positive and the other is negative. In addition, a square root of a number is one of its two equal factors, for example, 2 is a square root of 4 because (2)(2) = 4, but ‒2 is also a square root of 4 because (‒2)(‒2) = 4. In general, a real number “a” is a square root of a nonnegative number “b” if a² = b. HOWEVER BY DEFINITION, the symbol √ b is used to designate the nonnegative or principal square root of any nonnegative real number b, e.g., √4 = 2 is used to indicate the nonnegative or principal square root of 4, and ‒√4 = ‒2 is used to indicate the negative square root of 4. Although the principal square root of a positive number is only one of its two square roots, the designation “the square root” is often used to refer to the principal or nonnegative square root √ b. This is why √4 = 2, rather than ‒2. This is the way I've learned it. 52.3K views View upvotes

@mendozajovy 2 жыл бұрын

@@boesftupfm in the formula of quadratic equation, the discriminant have two roots, a negative and a positive. Also in your discussion you CLEARLY said that a positive number have 2 roots. That is why for me there are two roots. However, in worded problems i only consider the positive.

@cathrynevans5196 2 жыл бұрын

Too much talking, could be presented in far fewer words. Also it would be help if you wrote out the simple solution in the process right in the comment section. This applies to all of your tutorials… Provide a written explanation as well as your voice.

@jessrose2136 2 жыл бұрын

As he doesn't start the problem until 6:00 into a 17:31 video, I have to agree!

@jsusna1972 2 жыл бұрын

@@jessrose2136, thank you. I fast-forwarded to the solution.

@pourattitude4206 2 жыл бұрын

@@jsusna1972 there was a solution? My phone calculator says: Square root of 20 = 4.472135955 I did not see where he showed how to solve. Did I completely misunderstand the teaching point?

@UnconventionalReasoning 2 жыл бұрын

@@pourattitude4206 yes, the teaching point is that the *exact* simplified and equal result is 2 sqrt(5). The calculator gives an approximation for sqrt(5).

@jsusna1972 2 жыл бұрын

@@pourattitude4206, my point exactly. Saying the answer is 2 x Sqrt 5 doesn't give 4.72 As I had forgotten how to solve the problem, I was hoping this video would show it, not simply factor it.

@robertpreisser3547 2 жыл бұрын

“I solved X once… why do they keep asking what is X???” - My mom.

@kaiinselmann7275 2 жыл бұрын

Start : 6 min.

@chomiczeq_pl6540 2 жыл бұрын

2√5 easy

@u.a.stylish 2 жыл бұрын

Thanks for sharing 🤠 dear friend stay safe place bk

@daverobert7927 2 жыл бұрын

6 minute ad break at the start????

@cippydavid1550 2 жыл бұрын

writing the solutions of those roots with more or less in front is a mistake. they are numbers. not X there is only the more. it is a conceptual error. the result does not change, but things must be said right. math is precision

@cisltd 2 жыл бұрын

Not quite right. You also have square root 2 x Square root 2 x square root of 5. Then square root 2 x square root 2 equals 2!

@fosterhensleycm8378 5 ай бұрын

Plus and minus two answers

@MrSummitville Ай бұрын

No!

@LTVoyager 2 жыл бұрын

Having 5 minutes of a 17 minute video being a commercial is a bit too much for me.

@moseslocke2084 2 жыл бұрын

Not sure I understand as a practical matter (what is sqrt(20)) If you are looking for the answer ... you said " we are not going into your calculator".... well why would you go through the algebra that doesn't give you anything easier to the answer 2*sqrt(5)??? Seems like the answer is - if you need to know the square root of 20, you're better off putting it into your calculator rather than manipulating it with algebra???

@michaelvanhorn643 2 жыл бұрын

The lesson can be applicable if you’re preparing for an exam in which calculators are not allowed.

@v1i0k3o7 2 жыл бұрын

Know I know the meaning of the word factors. The shortest distance between two points . The way you know. I think we forgot more than we learn. I always feel if you can look up something. We have hope/ i just listened to the lesson to see if I remember anything. I'm good. I still feel good that E = MC Squared. Does this mean Matter multiplied by the speed of light"650,000 miles per hour" squared is the same as Energy multiplied by the speed of light squared is the same thing. Algorithms are screwing us all up now. Like elections. Putting crazy folks in charge. We are using the system against ourselves. Even when we over rev an engine it peters out. Numbers cannot be what they are not. They zero out and are what they are. pi R Squared. get around that . 3.14. Divide the Diameter into the Circumferance.

@lilpapi4399 2 жыл бұрын

The explanation is 1000x more complicated than the solution.

@harrymatabal8448 2 ай бұрын

√20 = √20. End of story

@danielcrotty8141 2 жыл бұрын

Too much Blather -- skip the first half

@MrOoofah 2 жыл бұрын

Skip to 5:30 - he finally concludes his belabored self-promotion and then addresses solving square roots. Smh......

@iitjeemathspro 2 жыл бұрын

😅😅

@theophonchana5025 2 жыл бұрын

sqrt (20) = 2 × sqrt (5)

@ro4317 2 жыл бұрын

Good, but consider not waiting 6 minutes to start the actual solution.

@youreyes46 2 жыл бұрын

5⭐⭐⭐⭐⭐

@pcolageorge 2 жыл бұрын

Same goes with language learning. If you are not on task and hitting it every day, you are not going anywhere.

@UnconventionalReasoning 2 жыл бұрын

sqrt(4) = +2. It does not equal -2.

@capreol48 2 жыл бұрын

-2 x -2 = 4

@UnconventionalReasoning 2 жыл бұрын

@@capreol48 square(x) and sqrt(x) are different functions, even if they are inverses. The inverse function often comes with "conditions". ==> 3 x 0 = 0 but saying ==> 0 / 0 = 3 would be incorrect. In the same way, ==> square(+3) = 9 ==> square(-3) = 9 but ==> sqrt(9) = +3 only.

@markp3351 2 жыл бұрын

17 mins and still couldn't come up with the answer, just another formula. A bit like saying the sum of 6+3 is....2+7. Not sure that's the answer the boss is wanting when asking how many loafs of bread are left on the shelf.

@demonhunter8533 2 жыл бұрын

You talk too much. I got sleepy before the real thing. More than 6 minutes on trash talk.

@iitjeemathspro 2 жыл бұрын

Kids usually get captivated by this kind of engaging talk... Xd... That's why look at the difference between his and my subscribers 😅

@dougbeall171 2 жыл бұрын

Blablablablablabla...get on with it already

@corneliusanders4658 Жыл бұрын

the intro is interminable! get to the point! sheesh.

@rodrodrigues5402 7 ай бұрын

The teacher here continues to show lack of understanding with regard to radicals and chacteristically gives lengthy unnecessary digressions. Radicals should never ever be written equal to a negative number. BY DEFENITION IS A POSITIVE NUMBER.

@690Lighthouse 2 жыл бұрын

Just take a second to introduce yourself? it was 5.5 minutes :-(

@MrRod4000 2 жыл бұрын

This looked interesting until you droned on and on and on and put me to sleep, just like in math class all those years ago.

@yetanotherjohn 2 жыл бұрын

SKIP TO 6:18 ... 1/3 of this clickbait wasted my time.

@jaimem6172 2 жыл бұрын

Is this about math or talking away for 5 mins !

@boyofw Жыл бұрын

Too much talking😅

@henkhu100 2 жыл бұрын

Every positive number x has two square roots: ✓x which is positive, and -✓x which is negative, where ✓x ia called the principal square root of x. So 4 has two square roots : ✓4 =2. and -✓4 = -2 So what you write: ✓x = +2 or -2 is very wrong. Please follow some courses in math before making these kind of very confusing videos. This not what math deserves.

@MrSummitville Ай бұрын

No, this problem only has the Principal Square Root as the answer...

@henkhu100 Ай бұрын

@@MrSummitville That is what I also say. But see 9:48. There he writes that the square root of 4 (✓4) is 2 or -2 And that is wrong ✓4 is the principle square root of 4 and just 2. I did not say that his answer is wrong, that is correct. But his remark that ✓4 is 2 or -2 is very wrong.

@MrSummitville Ай бұрын

@@henkhu100 I agree. He went off on a tangent discussing "Perfect Squares" - which does not apply to this video: "The Principal Square Root". Ouch!

@neilmorrone691 2 жыл бұрын

Gee Whiz! Over 17 minutes to demonstrate simplifying simple, ordinary Square Roots of Rational Numbers. A most drawn out, dull lesson! I appreciate you trying to advance students abilities in Mathematics, but please move the Lessons along .

@mikemyers7317 2 жыл бұрын

First 6 minutes wasted, get to the point already!

@larrymcbride79 4 ай бұрын

waaaaay too much talking!

@jasontr2011 2 жыл бұрын

Look up MathAntics, it's way better than this channel.

@garylake9317 2 жыл бұрын

Too wordy. I'll go elsewhere.

@bisonuberti 2 жыл бұрын

Blah...Blah..blah!!! This guy must like hearing himself talk. 18 minutes to explain 4 minutes of math??

@davidlevally4141 2 жыл бұрын

You ialk to much about yourself not math .

@MarkWilliams-rx6bl 2 жыл бұрын

Waaaaaay to wordy! You will lose your audience before you reach the conclusion. You need to distill this information to its essence or few will teach the end. Best of luck to you.