The document provides examples and instructions for simplifying radical expressions: 1) It gives examples of breaking down radicals containing numbers and variables into simpler radical terms by factoring perfect squares. 2) Tips are provided, such as grouping variables in radicals of two because the square root of a square is just the number or variable. 3) Examples demonstrate multiplying and simplifying radicals by first breaking them apart and then reducing any perfect square radicals or radicals that occur twice.

1. GOAL 1: THE LEARNER WILL PERFORM OPERATIONS WITH NUMBERS AND EXPRESSIONS TO SOLVE PROBLEMS. OBJECTIVE 1.01: WRITE EQUIVALENT FORMS OF ALGEBRAIC EXPRESSIONS TO SOLVE PROBLEMS. CLICK ON THE MICROPHONE SPEAKER TO HEAR EACH SLIDE OF THIS POWERPOINT! Module 11 Topic 2 Simplifying Radical Expressions

2. so so so You should know the squares of the numbers 1 through 20 to make your life easier.

3. Examples 1 and 2 Simplify. Simplify. Break apart the -3  7 -21 Break down 84 into two factors. Keep breaking down the factors until all prime numbers or perfect roots come out.

4. Tip: When breaking down variables that are in square roots put them in groups of 2 because the square root of a square if just that number or variable. Example 3: Simplify Example 4: Simplify

5. Multiply and Simplify 1 st break each square root apart and then simplify your perfect square roots and any roots that occur twice…remember they become that number out of the square root Example 5 Example 6

6. Find the area Example 7: Find the area of the rectangle. A = length × width Click on the rectangle above to watch a short clip on simplifying radical expressions.