u = (sqrt(2)^6*(1/2+sqrt(3)/2)^6
-show that u is an ordinary number.
Well.......we don't actually know what you mean by an "ordinary" number......however....
Here's the evaluation of this ( allowing for mis-matched parentheses) :
https://www.wolframalpha.com/input/?i=(sqrt(2)%5E6*(1%2F2%2Bsqrt(3)%2F2)%5E6