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

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

No sence

Как всегда интересною. Спасибо! Удачи!

Wunderbar

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

😜

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 !