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

This is an interesting question that tests a lot of concepts!
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• Maths Olympiad
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Questão de Matemática Olímpica || Isso é da China? || Matemática
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[@ichdu6710]

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]

Как всегда интересною. Спасибо! Удачи!

[@nkverma1577]

No sence

[@deckexcellentfoundationaca2390]

In fact this solution is nonsense. The answer is simply 1. What were you solving

[@michaelblankenau6598]

In fact the answer is NOT 1 … what were YOU solving ?

[@Rosomaxa-wu2ps]

Wunderbar

[@sirikumaradayananda368]

😜

[@gabrielebariletti6045]

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 !