Calculate Square Root of Non Perfect Squares in Seconds. Mental Maths - 13
ฝัง
- เผยแพร่เมื่อ 7 ม.ค. 2022
- In this Video we will learn how to calculate square roots of non perfect squares mentally in seconds.
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First video of 2022 (Happy new year to everyone!)
Happy new year
Happy New year 😊
are u indian
I struggle to sleep after maths…
It’s 2:36 AM, I couldn’t sleep so there’s always room to learn!!!
same here
I'm 12: 11 am learning for jee main
Same
2:18 am
I don't know why this channel is so underrated
I cannot explain your mathematical explanation, I am just speechless
I love your math trick videos!!!
Thank you brother, this is the best channel ever found and I hope u keep u this good work
Today.. I love math,. I explore too much to this channel 😍😍
I love this method ....thank you bro... Ur really making things easy for all of us without using calculator...great thanks
THIS IS EXACTLY WHAT I NEED THANK YOUUU SOOOO MUCHHH
I recently discovered your channel but worth to watch. Thank you
Found this channel today now I'm obsessed with it
Dem indians bro
Thanks mr.
Awesome trick
TQ,bro,I am very lucky to get such a good brother like you
Very interesting , you are brilliant
hats off to u sir
Thank you sir I need this for so long
SOO SIMPLE, THANK YOU
Thank you always MATHoGenius!!..
Thankfully , you uploaded ❤️
I was thinking why your not uploading
Thank you very much bro. This way helps me a lot. 👍☺️
Thanks For This Method
Thanks Sir ❤
Thank you sir..
Man you are amazing guy ....
Really need this for our science lesson thank you for the new knowledge
I swear why are these kids doing this math me im a grade 8 makes sense but you look 10 man no wonder you indians are so smart
You are genius
I love to watch your video
You are very good bhai
Tq so much sir
Very usefull
Bro he the best person to guy to learn from
I'm ao thankful that I found your channel 💕💕💕
Hey Blue
amazing
Happy new year to you
Super video
Best video
Happy new year bhaiiiii
Happy New year bro 🎆🎆🎆
Love these vids still learning ✌🏻
create a video on cos, sin and tan, cause i like your vids.
Can u please make a vidoe about division please
Ur very smart❤❤❤❤
Thank you so much it's really helping me a lot to build confidence n improve in the mathematician
Simultaneous linear equations please :) happy new year :)
watch the video on word problems
Why we Divide the subtriplication by double the number we are taking as a guess? If you describe it too it will be more easy to remember the method.
Is this trick is related to first principal of derivatives
Cool
I become very happy when I can able to do fast maths 😊
Can you teach us how to calculate actual results and not accurate?
That's a handy estimation tool. I've found an even more accurate way to estimate a squre root to be this equation:
Sqrt(X) = Sqrt(L) + (X - L) /(U - L)
Where:
X is the number you want to find the square root of
L is the lower square
U is the upper square
The only difference from the video being that you divide by (U - L) instead of (sqrt(L) x 2)
Im trying to understand you, show example pls
@@kaiji2542 sure, for example if you want to find the square root of 210, you know the lower square is 196 (square of 14) and the upper square is 225 (square of 15). So the math would be:
Sqrt(210) = Sqrt(196) + (210 - 196)/(225 - 196)
Which simplifies to:
Sqrt(210) = 14 + 14/29
Sqrt(210) = 14.48
(Note that the above are approximations, not equations)
@@NiceGoat Thanks! Although its harder but more accurate!
@@NiceGoat what if it was like finding the square root of 7?
@@kaiji2542 yep, it would work for that as well
45 square root:
1st find the nearest square that is 6×6=36
2nd 45- 36=9
3rd 9/6×2 = 9/12
4th 1/12 = 0.83 so 9×0.83= 7.47
5th the answer is 7.47
Bro square of 7 is 49 and 45 is a no. less than 49. Hence, the root of 45 must be less than 7.
Also, the trick Math-O-Genius told in this video is based on the method of linear approximation formula that you may see when you are studying calculus(differentiation part basically) and it suggests that the error should be as less as it can be. More will be the error(difference between the original no. inside the square root function and the closest perfect square no. to the original no. that we know of), more will be the difference between the original ans. and the approximately calculated ans.
*Edit* - I just saw you opted a fine approach but committed just a minor mistake - 1/12 = 0.0833
Hence, 9/12 = 0.749(approx.)
So, answer will be
=> 6 + 9/12 = 6.749 (approx)
You can also do it like -
7 x 7 = 49
=>Error = 3
=>Ans = 7 - 3/(7 x 2)
= 7 - 3/14
= 6.78 (approx)
*And the original answer is 6.708*
Both the answers are pretty close...
1:48 where did that "2" come from?
So, how to assume the best possible guess number?
How can we identfy a perfect square and non perfect square
How can i get the value of root 3224 bye this method? You have shown the examples of two digit numbers but I will be in case of three or four digit numbers?
I'm learning this for national test tomorrow
Hlo Sir! 💜💜
Hey why do you keep on getting a fraction please explain that
pls explain fraction
are you man city fan (love your videos)
What about reversal - square root of 3364
Man's got me addicted to math
I realised that you can subtract from the numbers attr the decimal, and you will get the right answer, am i right? 🤔
Can someone explain to me? For example, we are trying to find the root of 15, so the closest is 3 which is 9. 15-9 is 6. But 3 x 2 is also 6. So it will be 6/6. Which is 1. So is it 3.1? or 4? Please explain
i am a liverpool fan
Sir where are you from
Himachal pradesh
Please help us 4-digit numbers
How I will get square root of 115.94 ?
in maths blob run one question came 21/7 and options were 6,7,8,9
I tried with so many numbers but I found one exception of this trick .. i.e. square root of 99
How did you convert 4.375 to 4.359 ?🙄🤔
He didnt CONVERT It, its the ESTIMATED answer we got using this method (4.375) while the ACTUAL answer you get by solving it using calculator is 4.359
ítѕ ѕσ hєlpful tσ mє👍👍
99th
What about √6279
Wait this method does not work everywhere like for rt of 14 by his method ans comes as 3.83 and the actual ans is 3.74 and that's not a small error
very simple see
7th
Bro I need your help, I dont know what's this*
I literally just took a lesson that needs to square a non perfect squares
This method came from application of derivatives......
What about 35
I don’t like you because you love maths but my mind tells me to subscribe to your channel . Good luck 😉
you are so brillant and so great to teach this maths trics for us and i wish that u should become a worlds best mathamagesion and and your youtube channel should become more famous and i will see u in youtube fanfest thanks for your tricks😃
Today Is Weekend curfew Brother 😏
what about square root of 3
🤣🤣🤣
1.33
I Want learn pi
6/18 is also 1/3
How to memorise tables up to 12 .
You just gotta practise man
MathOgenius > byju's
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i am able to beat8th students maths i am in 7th standard
Are you man.city fan???
1 view like comment
Are you indian
Talha anjum lite😂😂😂
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United >
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This is the approximation from Application of Derivatives, to get an even accurate answer, choose the closest perfect square not the lower one.
Eg:
For 21, 25 is 4 units away while 16 is 5 units away.
So 21 = 25-4
Hence, sqrt(21) = sqrt(25) -4(1/2(sqrt(25)))
So, sqrt(21) = 5 - 4(1/2(5))
sqrt(21) = 5 - 4(1/10)
= 5 - 0.4
= 4.6
For an example like 19, 16 was the better choice because 16 is only 3 units away while 25 is 6 units away.
this formula does not exactly work the way of how close the number is to the lower or upper perfect square. the main criteria is the geometric mean of the two upper and lower perfect squares. if the given number is less than this geometric mean,use the lower perfect square,and if the given number is greater than the geometric mean,use the higher perfect square. if the given number is exactly the geometric mean, then choosing either perfect square will yield you the same answer and not nearness to either perfect square.
example sqrt of 20, lies between 16 and 25. by normal intuition, use of 16 (4 units away) will yield the better answer than 25 (5 units away). if you try calculate using 16 or 25, the answer are both the same 4.5 : 4 + (4/2/4) = 4.5 = 5 + (-5/2/5) . because geometric mean of 16 and 25 is exactly 20. this is especially noticeable when the number is small like square root of 2 lies between square root of 1 and 4.
Second
man city fan?? ehh
Are you indian ?
yes
I’m totally speechless 😶
But I will just say “May Allah bless you” 🙏🥺