8
Simplify: 7.2b Warm-Up 1. 5 40 2. 4 80 3. x 5 y 5 ● 3 2x 7 y 6 3 3 3 3 200 100 • 2 10 2 3 3 320 3 3 64 • 5 4 5 3 3 3 2x 12 y 11 3x 6 y 5 2y

Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

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Page 1: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

Simplify:

7.2b Warm-Up

1. 5 ● 40 2. 4 ● 80 3. x5y5 ● 3 2x7y6 33 33

200

100 • 2

10 2

33 320

33 64 • 5

4 533

3 2x12y11

3x6y5 2y

Page 2: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

7.2b Multiplying and Dividing Radical Expressions

Objective: To learn how to multiply and divided radical expressions. ================================================

Property: Dividing Radical Expressions

If a and b are real numbers, then =nn nn

b

a nn

nn nn a

b

Page 3: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

Example 4:

Divide and simplify.

a. -81 b. 54x8 33

-3

3 2x 33

-27 33

33

54 x8

2 x33

27x733

3x2 x 33

Page 4: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

On White Board:

Divide and simplify.

a. 12x4

3x

12x4

3x

64 x15

2 x44

32x1444

2x3 2x2 44

44

44b. 64x15

2x

4x3

2x x

Page 5: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

Example 5:

Divide and simplify.

a. 3 b. 5 33

5 2y 33

55

15 5

334y2

334y2

338y3

3320y2

2y

3320y2

Page 6: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

On White Board:

Divide and simplify.

a. 2x3 b. 4 33

5y 3x 33

5y5y

10x3y 5y

339x2

339x2

3327x3

3336x2

3x

3336x2x 10xy

5y

Page 7: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

7.2b HOMEWORK

Page 383 – 384

23 – 34 and 49 – 51

Page 8: Simplify: 7.2b Warm-Up 1. 5 ● 40 2. 4 ● 80 3. x 5 y 5 ● 3 2x 7 y 6 33 200 100 2 10 2 3 320 3 64 5 4 5 3 3 2x 12 y 11 3x 6 y 5 2y

7.2b Guided Practice

Page 383

23 – 34