wikipedia.org/wiki/Beal_conjecture
√1=0.316227766
That's the solution, the common prime factor is 0.316227766 b/c if you cube that number it becomes 0.316227766, to the power of 4 is 1. So a³+b³=c³ is 0.316227766³+0.316227766³=.05205210515253115352³
And of course a if Beal wants to jip the 3 trillion hobos seeing this he will say "you can't add fractions", however, all you'd have to do in that case is move the decimal over past the final digit.
Okay so the official solution to beals conjecture is √3=0.547722557505
(BTW -i=-0.316227766)
So a⁴+b⁴=c³ is 0.2236067978283666002653483660026534141421356237422360679782236067978836660026534223606797802236067978⁴+0.2236067978283666002653483660026534141421356237422360679782236067978836660026534223606797802236067978⁴=0.547722557505³
(Where a & b = 4throot3)
And of course a if Beal wants to jip the 3 trillion hobos seeing this he will say "you can't add fractions", however, all you'd have to do in that case is move the decimal over past the final digit.