I have a easier way to do this without the boring caculation part. We first definite algebra A as 11111 and swap the big number in square root with algebra A √(4444488889)=√(4A x 10^5)+8A+1=√4Ax(9A+1)+8A+1=√36A^2+12A+1=√(6A+1)^2=6A+1=66667
Just use Newton iteration f(x) =x^2-a gives next x = (x^2+a)/2x. Start wit x = 67000 and after one iteration you are spot on 66667. Doesn’t take 3 minutes!
@@6bq7aez80 Maybe because the given number has 10 digits so square root has D / 2 digigts. 10^a^b = 10^(a*b). 67^2 and 66^2 is closest to 4444, 4489 and 4356 respectively.
@@Devishhikemerci. Je dois avouer que je ne connais pas par cœur les carrés des nombres bien au delà de 16 et je n'aurais pas pu trouver en moins de 3 minutes.
@@6bq7aez80 It's all about evaluation. For instance, 3600 is 60^2, so u may start Newton method with 60. Ok, even though you know that 4^2 is 16 then u can go on with 5^2 is 25, 6^2 is 36 and 7^2 is 49, so our result begins with 6 because the first 2 digits is 44 and the nearest value which is lower and is a square is 36. There is a manual square root algorithm with pen and paper (which does the same process I've described) u can look for it.
@@Devishhike la dernière racine que j'ai arrachée n'était pas carrée et re-apprendre à extraire une carrée m'aurait pris déjà les 3 minutes. 3mn vous sont une éternité mais pour moi un clin d'oeil. Merci d'avoir satisfait ma curiosité .
I immediately saw that it was 4*(11111)*10^5 + 8*(11111) + 1. Furthermore, sqrt(1/9) is 1/3 and can be lifted out of the equation immediately. A bit neater proof :)
The mutual strikethrough of the square root and the degree of the number inspired me incredibly. It is possible that this should be done in the rice fields of a Chinese village... In our fifth grade, a schoolboy would be sent for his parents to find out how mentally complete this schoolboy is. But even for a schoolboy of an average rural Chinese school, the square root is actually a two-digit function. However, it is possible that China has a different algebra... I fell into prostration from the level of teaching algebra in China.
Your process make your head dizzy. You should using CAS to solve it. Mathematic is learning, the scientist making calculator and computer, why you doubt them ? You better at cooking masala.
I have a easier way to do this without the boring caculation part.
We first definite algebra A as 11111 and swap the big number in square root with algebra A
√(4444488889)=√(4A x 10^5)+8A+1=√4Ax(9A+1)+8A+1=√36A^2+12A+1=√(6A+1)^2=6A+1=66667
Yes the question 4s 8s and 9 makes us think in (A+B)^2 logic 👍🏽
👍👍
Just use Newton iteration f(x) =x^2-a gives next x = (x^2+a)/2x. Start wit x = 67000 and after one iteration you are spot on 66667. Doesn’t take 3 minutes!
Pourquoi commencez vous par 67000?
D'où provient cette valeur ou comment la déterminez vous?
@@6bq7aez80 Maybe because the given number has 10 digits so square root has D / 2 digigts. 10^a^b = 10^(a*b). 67^2 and 66^2 is closest to 4444, 4489 and 4356 respectively.
@@Devishhikemerci. Je dois avouer que je ne connais pas par cœur les carrés des nombres bien au delà de 16 et je n'aurais pas pu trouver en moins de 3 minutes.
@@6bq7aez80 It's all about evaluation. For instance, 3600 is 60^2, so u may start Newton method with 60. Ok, even though you know that 4^2 is 16 then u can go on with 5^2 is 25, 6^2 is 36 and 7^2 is 49, so our result begins with 6 because the first 2 digits is 44 and the nearest value which is lower and is a square is 36. There is a manual square root algorithm with pen and paper (which does the same process I've described) u can look for it.
@@Devishhike la dernière racine que j'ai arrachée n'était pas carrée et re-apprendre à extraire une carrée m'aurait pris déjà les 3 minutes.
3mn vous sont une éternité mais pour moi un clin d'oeil.
Merci d'avoir satisfait ma curiosité .
Very nice teaching skill
Love the way you taught. It's a good example to solve a big question by using basic algebra. Thank you so much.
Nice problem and excellent solution.👍
But you have to work on your 8's... 😉
too much time and too much paper
Very, very good... I am impressed
Nice solution
that's great😄😄😄
Mast hey ye video
Just fantastic
It's easier to just do the square root using written calculations.
I immediately saw that it was 4*(11111)*10^5 + 8*(11111) + 1. Furthermore, sqrt(1/9) is 1/3 and can be lifted out of the equation immediately. A bit neater proof :)
a reasonable solution but difficult to repeat without seeing this method
AMAZINGLY STUPID SOLUTION, just let X=11111, 10^5=9x+1
x=11111,10^5=9x+1:
4444488888+1=4x*10^5+8x+1=4x(9x+1)+8x+1=36x^2+12x+1=(6x+1)^2
Looking for this solution, x=11111 and 100000=9x+1 ✓
The mutual strikethrough of the square root and the degree of the number inspired me incredibly. It is possible that this should be done in the rice fields of a Chinese village... In our fifth grade, a schoolboy would be sent for his parents to find out how mentally complete this schoolboy is. But even for a schoolboy of an average rural Chinese school, the square root is actually a two-digit function. However, it is possible that China has a different algebra... I fell into prostration from the level of teaching algebra in China.
Very well explained such complex question
amazingly stupid solution
Wow !!
Good food for thought. Thank you
Very well 😊
great😊
good
Nice simplified
amazingly stupid solution
Nice explanation mam
Too long for practice life, only for knowlodge. Is very very good
Why not the conventional method that may take shorter time?
its very good simplified
Perfect learning
AMAZINGLY STUPID SOLUTION, just let X=11111, 10^5=9x+1
simple division process can do it in 2 mins why to do so much but process was good
Amazing
Deep knowledge
This was fun.
जुगाड करने की कला ही गणित कहलाती है,
Lot of time you can find by division method quickly
👍👍👍
very interesting
how you decide to re right (1series) terms in 99999/9, (i mean there are different ways like 8888/8). So my question is why terms of 9 not other?
(x ➖ 3x+2).
2^2^2^2^2^2^2^2^2^2^2^32^3^2^32^3^3^2 1^1^1^1^1^1^1^1^1^11^1^1^1^1^1^2^13^1 23 (x ➖ 3x+2) .
the video creator: wants to increase duration by writing unnecessary steps
me: watches on turbo using the jump 10 seconds forward key
Forgot +- in solution. She did correct all but square has 2 solutions: one negative and one positive.
❤❤❤❤
p=np
直式開方更容易
嘿，你有學到直式開根號，不錯。
너무 반짝반짝 눈이 부셔 노노노노노
너무 깜짝깜짝 놀란 나는 오오오오오
너무 짜릿짜릿 몸이 떨려 지지지지지
오 젖은 눈빛 오 예
오 좋은 향기 오 예예예
4×10^10+8×10^5+1=(4×10^5+1)^2
Есть ошибка - 10 в 7 степени потеряна. Не ставятся скобки.
Use a parenthesis for 10*5-1 like (10*5-1)
did it wo paper in less than 30 secs
one two tree four five 🗣
It gave me slap on what I lost doing and thinking when i was a child
Try log
Mucho más corto calculando la raíz cuadrada a mano
And minus of the solution you found also will be another solution. Plus-minus
There mistake in second line
99999 is not "five times nine"...
У стовпчик - куди скоріше.
66667.0
Столько лишних действий, глупых и не нужных, похоже чтоб тайминг растянуть, мне бы за такое решение 3 поставили.
Thời đại 4.0 lấy máy tính bấm chưa đến 1 giây ! Làm dài dòng quá !
Your process make your head dizzy.
You should using CAS to solve it.
Mathematic is learning, the scientist making calculator and computer, why you doubt them ?
You better at cooking masala.
Красивое решение!
also -66667 is another solution
wrong
ONLY 66667
Yes you’re done
@@leealex3692it’s not wrong
Only one solution! You're not solving an equation x² = .....
Result of squareroot is positive. Unless theres an imaginary number
There is another way easier..
做的很努力，但冗長複雜，效率不佳，直式開根號可直接算出。
Taking too much time
Do we need to solve these problems to become rich? My boss stopped studying when he was 10 and now he has 10 Million dollards 😂
Not all people study to become rich :)
66667
Women 😂
この発想は無かったー！
Τόσος υπολογισμός για το τίποτα. Σε τι χρειάζεται;
Υπάρχει απλή μέθοδος, το κομπιούτερ
scam
Lose a mark for no negative root.
이렇게 긴 숫자는 계산기가 하면됩니다. 요즘세상에 누가 이런 복잡한 숫자를 수많은 시간 보내면서 낭비합니까? 시간낭비 머리 낭비입니다. 그시간에 더 가치있는 일을 해야 합니다.
그냥 계산기에 넣고 돌리자