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 2Simplifying Radical

Expressions

1 =1g1so

1 =1

4 =2g2so

4 =2

49 =7g7so

49 =7

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

Examples 1 and 2

Simplify. Simplify.

Break apart the

-3 7

-21

49

−3 49 84

7g 12

7g 4g 3

7g2g 3

2 21

Break down 84 into two factors. Keep breaking down the factors until all prime numbers or perfect roots come out.

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

54a2

54g a2

9g 6ga

3a 6

144a5b4

144g a5 g b4

12g a2 g a2 g ag b2 g b 2

12gagag agbgb

12a2b2 a

Multiply and Simplify1st 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

12g 15

4g 3g 3g 5

2g3g 5

6 5

6 30g2 8

6g 15g 2g2g 2 4

6g 15g2g2g2

48 15

Find the area

Example 7: Find the area of the rectangle.

A = length × width 3 3

4 6 A =4 6g3 3

A =12 18

A =12g 9g 2

A =12g3g 2

A =36 2

Click on the rectangle above to watch a short clipon simplifying radicalexpressions.