China | Can you solve this ? | A Nice Math Olympiad Radical Simplification

  Рет қаралды 18,978

Learncommunolizer

Learncommunolizer

19 күн бұрын

This is an interesting question that tests a lot of concepts!
Hope you are all well
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Пікірлер: 14
@ichdu6710
@ichdu6710 17 күн бұрын
an amazing solution. also an amazing discovery is; you can solve this directly by squaring the given fraction, square the result two times and multiply with the fraction at last
@user-fb1qo8go1b
@user-fb1qo8go1b 17 күн бұрын
Как всегда интересною. Спасибо! Удачи!
@user-ee7nw2rx9s
@user-ee7nw2rx9s 11 күн бұрын
Можно всего лишь два раза возвести в куб Первый раз Числитель 5sqrt5-3*5*1+3*1* sqrt 5-1=5sqrt 5+sqrt 5-15-1=8 sqrt 5-16=8(sqrt 5-2) Знаменатель 2^3=8 Делим в итоге получается sqrt 5-2 Повторно возводим в куб 5sqrt 5-3*5*2+3*4*sqrt 5-8=5sqrt 5+12sqrt 5-30-8=17 sqrt 5-38
@nkverma1577
@nkverma1577 17 күн бұрын
No sence
@anjalidilipogale4208
@anjalidilipogale4208 Күн бұрын
You have given accurate sol
@StephenWong14
@StephenWong14 2 күн бұрын
More straightforward to just simply power 4 (binomial theorem), square it and multiply once more. 😢
@user-sm6sw8cl4p
@user-sm6sw8cl4p 6 күн бұрын
А вообще то в жизни кому нужны такие вычисления? Мне не пригодились от слова совсем 😢
@Rosomaxa-wu2ps
@Rosomaxa-wu2ps 16 күн бұрын
Wunderbar
@learncommunolizer
@learncommunolizer 6 күн бұрын
Thank you very much
@sirikumaradayananda368
@sirikumaradayananda368 16 күн бұрын
😜
@deckexcellentfoundationaca2390
@deckexcellentfoundationaca2390 16 күн бұрын
In fact this solution is nonsense. The answer is simply 1. What were you solving
@michaelblankenau6598
@michaelblankenau6598 15 күн бұрын
In fact the answer is NOT 1 … what were YOU solving ?
@bradycall1889
@bradycall1889 10 күн бұрын
Ru trolling? lol
@gabrielebariletti6045
@gabrielebariletti6045 14 күн бұрын
more easy, and logic too: ((5^(1/2)-1)/2)^9 ; ((5^(1/2)-1))^2 * ((5^(1/2)-1))^2 * ((5^(1/2)-1))^2 * ((5^(1/2)-1))^2 * (5^(1/2)-1) ; ((5^(1/2)-1))^2 = 2(3-5^(1/2)) => (2(3-5^(1/2)))^2 * (2(3-5^(1/2)))^2 * (5^(1/2)-1) ; (2(3-5^(1/2)))^2 = 8(7-3*5^(1/2)) => (8(7-3*5^(1/2)))^2 = 128(47-21*5^(1/2)) ; 2^(7)*(47-21*5^(1/2)) * (5^(1/2)-1)/2) = 2^(7)*4*(17*5^(1/2)-38) => ((5^(1/2)-1)/2)^9 = (2^(9)*(17*5^(1/2)-38)) / 2^(9) => ((5^(1/2)-1)/2)^9 = 17*5^(1/2)-38 = circa 0,013156 C.V.D. as we wanted to show !
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