1. Chapter 1 Vocabulary 11.) square root 12.) radicand 13.) radical
14.) perfect square

2. 1-3A Real Numbers
Algebra 1 Concepts

3. Perfect Squares

4. Perfect Squares
You should be very familiar with the perfect squares listed. Recognizing the perfect squares will help you to simplify radicals.

5. Simplifying Radicals
Find one or more factors that are perfect squares to simplify radicals.
For example,

6. Simplifying Radicals Keep factoring until you find a perfect square.
For example,

7. Stop

8. Variables under the radical
Since , then .
The same applies with variables as the numbers. If

9. Example 1

10. Example 1