Transcript PPT 9-2 Simplifying Radicals - PMS-Math

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.
3
4
25
5
36
4
Simplifying Radical
Expressions
32
50
27
10  16
5
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 a 0and b 0,
ab  a b
9.2 Students will be able to use properties of radicals to simplify radicals.
Product Property of Radicals
Examples
72 
36 2  36 2
6 2
48  16 3  16 3
4 3
LEAVE IN RADICAL FORM
9.2 Students will be able to use properties of radicals to simplify radicals.
Perfect Square Factor * Other Factor
8
=
4*2
=
2 2
20
=
4 *5
=
2 5
32
=
16* 2 =
4 2
75
=
25* 3 =
5 3
40
=
4 *10 = 2 10
LEAVE IN RADICAL FORM
9.2 Students will be able to use properties of radicals to simplify radicals.
Perfect Square Factor * Other Factor
48
=
16 * 3 =
4 3
80
=
16 * 5 =
4 5
50
=
25* 2 = 25 2
5 5
125 =
25* 5 =
450 =
225* 2 = 15 2
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 a 0and b 0,
a

b
a
b
9.2 Students will be able to use properties of radicals to simplify radicals.
Examples:
1.
7

16
32

2.
25
7
7

4
16
32
25

32 4 2

5
5
9.2 Students will be able to use properties of radicals to simplify radicals.
Examples:
3.
4.
48
3

45

4
48
 16  4
3
45
4

45 3 5

2
2
9.2 Students will be able to use properties of radicals to simplify radicals.
Examples:
1.
5

4
20 8
5
5

2
4
8
2.
 10  10 4  10 2
2
2 2
 20
9.2 Students will be able to use properties of radicals to simplify radicals.
Simplify
1.
3.
3
4
2.
32
50
4.
20
4
10  16
5