Radical Expressions Objective: Simplify radical expressions.
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Transcript of Radical Expressions Objective: Simplify radical expressions.
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