2. Multiplying Radical Expressions Note that This example suggests the following. and

3. Example Multiply. Solution

5. Example Simplify by factoring: 100 is the largest perfect- square factor of 300.

6. Solution continued 27s 3 is the largest perfect third-power factor.

7. Example Solution Factoring into two radicals. If find a simplified form for f(x). Taking the square root.

8. continued We can check by graphing

9. We have used the product rule for radicals to find products and also to simplify radical expressions. For some radical expressions, it is possible to do both: First find a product and then simplify. Multiplying and Simplifying Solution ExampleMultiply and simplify. Multiplying radicands 4 is a perfect square.

10. Solution continued