Radical ExpressionsRadical Expressions

Objective:Objective:

Simplify radical expressionsSimplify radical expressions

Perfect Squares & Square root• List the numbers 1 to 15

in a column• List the square of each

number without a calculator

• Squaring and taking the square root are inverse operations

x2x

…

16

9

4

1

…4

3

2

1

Squaring

Square Root

3

Radical Expression

49

Remove factors that are perfect squares

Simplifying Radical Expression

7 16 4

18

23

2929

32

24

216216

25 5

8

27

75

Simiplify

22

33

35

16

Look for pairs of Prime Factors

Simplifying Radical Expression

22

12

32

28

322

722

72

Simiplify

4

72

23226

33222

2222

32

Look for pairs of factors

Simplifying Radical Expression

24 288

12122

400

1442

2020

20

Simplify

300

310

3100

84

244

31010 212

Simplify

Combining Radicals

33122 32 312

36

366

66

Combine factors outside radicalif + or –, combine only if radical is the same

Combine factors inside radicalif × or ÷

Simplify radical

152455

3150

1545

1531510

25W.S. 8-1 Practice

Simplifying Radicals

1-17 odd

543332 5435