9.2 Students will be able to use properties of radicals to simplify radicals.

Warm-Up

Practice Page 507 – 508 41, 42, 45, 46, 55, 57, 59, 65

9.2 Students will be able to use properties of radicals to simplify radicals.

Review Homework

9.2 Students will be able to use properties of radicals to simplify radicals.

Simplifying Radical Expressions

5

25 4

36

275

1610

4

3

50

32

9.2 Students will be able to use properties of radicals to simplify radicals.

Simplest Radical Form No perfect nth power factors other than

1.

No fractions under the square root sign.

No square roots in the denominator.

9.2 Students will be able to use properties of radicals to simplify radicals.

Product Property of Radicals For any numbers a and b where and , a0

ab a b

b0

9.2 Students will be able to use properties of radicals to simplify radicals.Product Property of Radicals Examples

72 362 36 2

6 2

163 16 3 48 4 3

9.2 Students will be able to use properties of radicals to simplify radicals.

8

20

32

75

40

=

= =

=

=

2*4

5*4

2*16

3*25

10*4

=

=

=

=

=

22

52

24

35

102

Perfect Square Factor * Other FactorL

EA

VE

IN

RA

DIC

AL

FO

RM

9.2 Students will be able to use properties of radicals to simplify radicals.

48

80

50

125

450

=

= =

=

=

3*16

5*16

2*25

5*25

2*225

=

=

=

=

=

34

54

225

55

215

Perfect Square Factor * Other FactorL

EA

VE

IN

RA

DIC

AL

FO

RM

9.2 Students will be able to use properties of radicals to simplify radicals.Quotient Property of Radicals For any numbers a and b where and , a0 b0

ab

a

b

9.2 Students will be able to use properties of radicals to simplify radicals.Examples:

1. 716

2. 3225

7

16

74

32

25

325

4 2

5

9.2 Students will be able to use properties of radicals to simplify radicals.Examples:

483 16

45

4

452

3 52

3. 48

3

4. 454

4

9.2 Students will be able to use properties of radicals to simplify radicals.

Examples:

1. 54

2. 20 8

2 2

5

4

52

10

82 10 4 102

20

9.2 Students will be able to use properties of radicals to simplify radicals.

Simplify1. 2.

3. 4.

4

3

4

20

5

1610

50

32