1/radical2 power 1/3 +radical 3 power 1/3+radical 6 power 7/3?

Question

the power for the last part is 1/3.
the previous one is misprinting

Answer 1

If what you want is -

1/ [(2^(1/3))^(1/2) + (3^(1/3))^(1/3) + (6^(1/3)^(1/3)]

then =

1/ (2^(1/6) + 3^(1/6) + 6^(1/6))

no further simplification possible, approximate answer is
0.2723

Radical by itself is the same as an exponent of 1/2, equal to the square root. So what you do is multiply 1/2 times the value of the exponent under the radical to simplify (e.g, radical (2^(1/3)) = 2^(1/6)