We simplify all of these expressions.
A:
A=212416A=212(22)16A=212214A=214
B:
B=12√128B=12√27B=2712
C:
C=(1815)2C=(1(23)15)2C=(1235)2C=(2−35)2C=(2−65)
D:
D=√4−12−1⋅8−1D=√(22)−12−1⋅(23)−1D=√2−22−4D=2
E:
E=3√212⋅4−14E=3√212⋅(22)−14E=3√212⋅2−12E=3√1E=1
We then order them: C, E, A, B, D.