a) (rad 3 - 2)^100 * (rad 3 + 2)^100 = [(rad 3 - 2)(rad3 + 2)]^100 = (3 - 4)^100 = (-1)^100 = 1
b) (9 - 4 rad 5)^50 * (9 + 4 rad 5)^50 = [(9 - 4 rad 5)(9 + 4 rad 5)]^50 = (81 - 16*5)^50 = (81 - 80)^50 = 1^50 = 1
c) (rad 8 - rad 2)^20 = (2 rad 2 - rad 2)^20 = (rad 2)^20 = 2^10 = 1024
d) (rad 3 - rad 12)^16 = (rad 3 - 2 rad 3)^16 = (- rad 3)^16 = 3^8 = 729