Beginning Algebra
They can be combined into a single radical as long as the number inside the root (the radicand) is exactly the same.
They cannot be combined into a single radical because they represent fundamentally different mathematical operations and are not "like terms."
They can be combined by adding the root indices together to create a new combined root (for example, a 5th root).
They can be combined by multiplying the number inside the root by the index of the other root.