Question

Which one is greater - 2^1/3 or 12^1/6 ?
Please show step by step...

Answer 1

2^(1/3) = [2²^(1/6)] = 4^(1/6),

12^1/6,


so 12^(1/6) is greater

Answer 2

Which one is greater - 2^1/3 or 12^1/6 ?

2^1/3           &                12^1/6

l c m of 3 & 6 is 6

so,

2^2/6           &              12^1/6

4 ^1/6          &               12^1/6

   4             <                12

so, 12^1/6 is greater