Question

Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals like radicals? Give an example.

Answer 1

In any expression, indexes are same and its radicands are identical. for example 3√x and √x are the like radicals but 3√x and √y are unlike radicals.like radicals are easily added but unlike radicals are not possible to add.
Like:
3√x + √x = 4√x
Unlike:
3√x +√y = ?? (√x and √y are different radicands can't be added)

Answer 2

Thank you for your help, my friend.