Question

If b is a nonnegative real number and n is a positive integer then b ...

Answer 1

A. True

Explanation:

rest of the question:
...then b^1/n = n√b.

Answer 2

If b is a nonnegative real number, then
`b\ge 0`.
If n is a positive integer, then
`n\ \textgreater \ 0`.

If you want to compare b and n you should have additional condition. Only when b=0 you can conclude, that
`b\ \textless \ n`.