Answer:
No, the radicands are not added.
Step-by-step explanation:
When adding or subtracting like radicals, we treat them as we treat algebraic expressions:
4 x + x - 2 x= 3 x
In the sense that we associate the "x" above with the radical expression. So for example:
[tex]4\,\sqrt[3]{x-7} \,+\,\sqrt[3]{x-7} -\,2\,\sqrt[3]{x-7} = (4+1-2)\,\sqrt[3]{x-7} =3\,\sqrt[3]{x-7}[/tex]
The radicals remain the same, and we treat them as algebraic expressions, just combining adequately the multiplicative factors the radicals have.
