1. Aim: How do we do the operations of radical expressions?
Do Now: 1. Add:
2. Subtract:
3. Add:
4. Subtract:

2. Let’s see the following examples:
To add or subtract radicals, we need to identify the like terms and unlike terms. The we can treat it as adding or subtracting polynomials.
and
are like terms
are like terms
and
Let’s see the following examples:
Add:
Subtract:
If we don’t see like terms, then we need to simplify the radicals to find the like terms if possible.

3. In order to add or subtract, the radical expression must have the same index and the same radicand.

4. We cannot combine 2x + 2y or 2x – 2y, but we can do and
To multiply or divide radicals, we do it just like multiply or divide polynomials, and then we need to simplify if applicable.
We cannot combine 2x + 2y or 2x – 2y, but we can do and
Multiply then simplify =