1. Adding, Subtracting, and Multiplying Radical Expressions
8.6
Adding, Subtracting, and Multiplying Radical Expressions

2. Sums and Differences
Rules in the previous section allowed us to split radicals that had a radicand which was a product or a quotient.
We can NOT split sums or differences.

3. Like Radicals
Like radicals are radicals with the same index and the same radicand.
Like radicals can also be combined with addition or subtraction by using the distributive property.

4. Example
Add or subtract as indicated. a. b. c. d.

5. Example
Simplify the radical expression.

6. Example
Add or subtract.

7. Example
Add. Assume that variables represent positive real numbers.

8. Example
Multiply. a. b. 8