How do you simplify (3rd root of 5) divided by (sqrt of 5)?
You won't be able to multiply or divide them until they have the same index. So to simplify this, we will make them have the same index.
Using the Law of Indices, we can rewrite this as:
As you can see, they both have fraction exponents now. We must now make those fraction exponents have the same denominator. You can use any multiple of 2 and 3, but the easiest to use is 6 (since that is the least common denominator).
Using the Law of Indices again, you can rewrite this as:
You can have that as your final answer. However, you can still rationalize this if you want. Simply multiply something that will remove the radical from the denominator.