Olympiad Mathematics l Simplification Of Radical Exponential Problem l Easy solution.

Olympiad Mathematics l Simplification Of Radical Exponential Problem l Easy solution. #maths #matholympics #mathproblem #mathematics #mathcompetition #mathstricks #olympiade #mathcontest #mathviral #education #radicalproblem #exponential #exponentialproblem

[@VictorPensioner]

[(√15 - √3)/√12]^6 =
[√3(√5 - 1)/2√3]^6 =
(√5 - 1)^6 / 2^6 =
(1) (√5 - 1)^6 / 64
(2) (√5 - 1)^3 = 5√5 - 15 + 3√5 - 1 = 8√5 - 16 = 8(√5 - 2)
(√5 - 1)^6 = (√5 - 1)^3 * (√5 - 1)^3
From (2)
(3) (√5 - √1)^6 = 8² * (√5 - 2)² = 64 * (5 + 4 - 4√5) = 64 * (9 - 4√5)
From (1) and (3)
[(√15 - √3)/√12]^6 = [(√5 - 1)^6 / 64] = [64 * (9 - 4√5)] / 64 = 9 - 4√5

[@LUISTEX2099]

Pésima solución.