Square Root (3/10) = ? Many don’t know how to simplify the square root of a fraction!
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- Опубликовано: 28 мар 2024
- How to simplify the square root of a fraction - rationalize denominator. Learn more math at TCMathAcademy.com/.
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You are a great teacher. Thorough explanation. Few Maths teachers care for detail.
I flunked Math 101 (got a D the 2nd time) but totally get it when you explain it! I love these videos!
got it. great explaination. thanks for the fun.
Thank you
Can't we have the easy ones back again? Joking love the content
I really like you channel, although I usually get the answer correct, I am beginning to forget all the rules and the detailed methods. Your videos are great refreshers for helping my 12 year old algebra student with her homework.
Nice one
Very good
Hi
Shalom from Israel, next to Jersalem
For this problem. Just use the mutiplication by 1 on the dinominator
So I started with the denominator.
The denominator is square root of 10.
So sqre root of 10 .times sqre root of 10 is 10.
Now all I did is multiply the numerator by 10.
3.10 = 30
If you are going to keep harping on guessing on multiple choice questions then:
1: make your multiple choices more consistent with what multiple question tests offer, namely two very realistic choices, one clearly wrong, and one in between.
2: give proper strategies for guessing. For example, in this problem,. “A” is clearly wrong because you can compare that answer to sqr 1. Sqr 30 is clearly wrong because sqr 25 equals 5, which is MUCH higher than 3/10. That leaves 10/sqr3 (which is ALSO greater than 1, not to mention improper notation) and the correct answer. So process of elimination LEADS the test taker to the correct answer.
It’s easy to see that (d) is the correct answer to the question (Which is correct?) but is it really a simplification?
It's not a simplification. It's just another way of expressing the same thing.
d. Rationalize the denominator.
Once you know the rules and how they work, the simplest algorithm is to multiply the numerator by the denominator (ex: 3x10=30) and take the denominator out from under the radical. So, √(2/7) =√(2x7)/7, or. √14/7.
But suppose the denominator is an irrational such as π or e. How would one rationalize that? 1/π=π/π², but that just makes things more obscure.
The objective here is to find which of the four answer options is equivalent to the original expression.
If you're given a starting expression, and four options that it could be equivalent to, then you just have to work out which of the options is equivalent. That's no different if the original expression happens to have π or e in it.
If you take the square root of a number between 0 and 1, it will be a number between 0 and 1 that is greater than the original. B and C are greater than 1, so they are wrong. A would be true if 3/10 was equal to its square root, but only 0 and 1 are equal to their square root.
The result ist sqrt(3)/sqrt(10(, which is the same as sqrt(30)/10., so d) is the correct answer:
sqrt(3/10)=
sqrt(3)/sqrt(10)=
(sqrt(3)*sqrt(10)/(sqrt(10)*sqrt(10))=
(sqrt(3)*sqrt(10)/10=
sqrt(3*10)/10=
sqrt(30)/10
3/10=30/100; sqrt (30/100)=sqrt 30/sqrt 100 = (sqrt 30)/10 - I can't see the need for any other convoluted explanation.
d) is correct answer.
3/10=x*2 now what lol wow I stopped teaching 20 years ago and didn’t realize how much I’d forgotten. If I was given this problem on my own, I would’ve done like I did above. I would’ve squared both sides to get rid of the square root. But then I would realize that wouldn’t work and I would eventually come to this solution. I did not realize how much you lose it if you don’t use it. Things like order of operations andstuff you use constantly you don’t lose, but factoring, and stuff like that takes a while to refresh your memory
1.8256
This question is to be answered until 09:59 am, for those who have the last digit of their DNI 3: What is the letter that you like the most in A, B, C, I, N , The m?
d) sq.root of 30/10
D is the only answer that comes close.
Option d
It looked simple enough, but when I saw your answers, I thought 3/10 is the same as 30/100, so d is an alternative expression. Answer b is roughly 10 times too large, you could have offered 1 divided by the square root of 3 for a more effective distractor.
Thanks.
√30/10
For those of you who successfully understood this video, I have a similar problem for you. How do you simplify (3/10)^(1/3) or the cube root of '3/10'. Take a moment to give it a try, and check out my reply for the answer.
I got this.
((300)^(1/3))/10
@@kimberlyacomb5014 Awesome.
You're so radical. Multiply by 100 over 100 so you get (300^1/3)/10 there are no primes that multiply 3 times to form 300 (no cubic factors of 300)
@@thevictoriakent That is an awesome way to do it. Then you would multiply by 1000 over 1000 if you had (3/10)^(1/4) to get (3000^(1/4))/10, etc.
You did not show the working calculation
The sqrt of a number between zero and one will also be a number between zero and one. There is only one answer that is less than one and not the original number under the radical itself and that is 'd.'
Of course. But when you are not given a choice of answers? Then you need to know the maths.
@@ellentronicmistress4969
If you are not given a choice of answers then there's nothing to do here!
The question boils down to, "which of these options is equivalent to the original expression?"
Very obviously, you can't ask that question without providing some options.
If there are no options and the question is just
√(3/10) = ?
then
√(3/10) = √(3/10)
is as valid as any other correct answer.
@@gavindeane3670 If this question was given in an exam you would not be given multiple choice so I do not have a clue what your point is. If I asked you what 7 + 5 equals, would you write that 7 + 5 = 7+5? The answer is given so watch the video please. It's about about surds and rationaliosing a denominator to simplify of an expression, a key mathematical skill in school
@ellentronicmistress4969 My point is that if you were simply given the question √(3/10) = ? without a choice of answers, there is not one unique correct answer.
Without a choice of answers the question in the video is just
√(3/10) = ?
Obviously nobody would actually write that as a question. It's just silly.
√(3/10) = ?
is not the same question as:
Rationalise the denominator in √(3/10)
@@gavindeane3670 Yes, and that is the point of the video which which is too explain how to simplify the term A question in a paper might ask you 'Simplify √(3/10)'. The steps shown in the video explain how to do this. Which takes me back to my original comment - you would not get a multiple choice answer. The multiple choice answers are not the point of the video; how to arrive at the answer is.
Ans is (d)
Answer is (d)
d.
The ans is d
It must be d) because the first 3 options don't make sense.
a) 3/10 is not = to the square root of 3/10, obviously.
b) We can't have the square root of a prime number as the denominator.
c) The square root of 3 can't be the square root of 30, obviously.
Now, I need to refresh my memory about the method to solve.
Oups! Just had a flash before watching the whole thing.
Solution: SR 3/SQ 10 X SR 10/SR 10 = SR30/10.
D
You multiplied by 1 (Sq root of 10 over Sq root of 10)
But I thought you said you can't divide by Sq root of 10
Not that you can't but that it is bad form to leave an answer with a radical in the denominator.
I haven't watched your video yet, but think that I got this one because there was a choice of answers
and d) was the only one where I could work out how get that answer.
Multiplying Square root (3/10) by Square root 10 gives you ..
Square root (30 / 100) which is Square root 30 / 10 .. and now I'll check that !
There isn't a "problem" with this. The question is, "how do you simplify this."
You do a nice job of teaching this though.
d
You make me feel like a damn fool!! Too fast!! Now I am starting out my day depressed as a flat tire! Thanks a lot!
No paper or calculator needed ... V(3/10) = V3.V10 / V10.V10 = V30 / 10
I think it is (√30)/10
Yes 3/10 is correct answer
Guess D
a) looks like a longshot
d)
Solved it by eliminating all the ones it couldn't possibly be.
The answer is d.
Square 30 over 10,d)
You da that you must not divide by an irrational number and the square root of 10 is irrational but then you use the sqr root of 10 divided be the sqr root of 10!
the answer is d.
Yeah just a guess
Reponse:sqrt30/10
Thanx for the tutorial but when you were explaining about perfect squares and their square roots please remember to insert the square root sign where it matters. Learners wl.master the wrong concept. U wrote 9=3 and 25=5which is not correct mathematically.
The answer is 3/10
It is 3/10 .
So the final answer is: square root of 30 /10
Bye to you all and blessings
Just one thing I wrote 10 as a denominator Without a root
Wtf is already in simplified form
2 seconds. You can't have a root in the denominator. Sqrt of 30 divided by 10.
Of course you can have a square root in the denominator. There's one right there in the original expression at the start of the video.
As soon as you split the fraction I understood why the answer was the answer....
And I knew the answer couldn't have a Sq rt in the denominator....
3/sq.root 30 …… irrational
Based on previous tutorials of John, I solved this in my head in 0.03 nanoseconds. Thanks John.
Good video but could be done in 5 mins vs 19+. Try to shorten your videos to contain just the pertinent information. You tend to get quite wordy.
I don’t get it at all. I guessed right, watched the whole thing and still don’t get it.
We have heard about you. But, you keep repeating it.
What is it with the passive aggressive “many will get it wrong” this channel constantly puts up? I wouldn’t let my children within 20 miles of this person.
Too damn slow. You could have done five such problems in the same time. A student sitting for an exam doesn't have the time to ruminate over irrelevant factors.
Answer d
Answer is d. √30/10.
This nan is so boring. Talk about liking your own voice😂😂
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