What is the square root of 2 to the poweer of (1/3)?

In order to do the problem, I need this information. We are not allowed to use the calculator so I was wondering what that is, or how to find powers of square roots like this.

2 answers

sqrt2)^1/3)=1/(sqrt2)^3=1/2sqrt2
= sqrt2/(2sqrt2*sqrt2)=(sqrt2)/4
Ignore that post, I wasn't thinking clearly.

sqrt2^1/3

which is the cube root of sqrt2, or
2^1/6

Now, if you need to find the value of that, without a calculator, you can always use a log table.