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11-6Radical
11-6
RadicalExpressions
Expressions
Warm Up
Lesson Presentation
Lesson Quiz
Holt
Algebra
Holt
Algebra
11
11-6 Radical Expressions
Warm Up
Identify the perfect square in each set.
1. 45 81 27 111 81
2. 156 99 8 25 25
3. 256 84 12 1000 256
4. 35 216 196 72 196
Holt Algebra 1
11-6 Radical Expressions
Warm Up Continued
Write each number as a product of
prime numbers.
5. 36
6. 64
7. 196
8. 24
Holt Algebra 1
11-6 Radical Expressions
Objective
Simplify radical expressions.
Holt Algebra 1
11-6 Radical Expressions
Vocabulary
radical expression
radicand
Holt Algebra 1
11-6 Radical Expressions
Holt Algebra 1
11-6 Radical Expressions
Remember that positive numbers have two
square roots, one positive and one negative.
However,
indicates a nonnegative square
root. When you simplify, be sure that your
answer is not negative. To simplify
you
should write
because you do not
know whether x is positive or negative.
Holt Algebra 1
11-6 Radical Expressions
Check It Out! Example 1
Simplify each expression.
a.
Holt Algebra 1
b.
11-6 Radical Expressions
Holt Algebra 1
11-6 Radical Expressions
Example 2A: Using the Product Property of Square
Roots
Simplify. All variables represent nonnegative
numbers.
Factor the radicand using perfect
squares.
Product Property of Square Roots.
Simplify.
Holt Algebra 1
11-6 Radical Expressions
Check It Out! Example 2a
Simplify. All variables represent nonnegative
numbers.
Factor the radicand using perfect
squares.
Product Property of Square Roots.
Simplify.
Holt Algebra 1
11-6 Radical Expressions
Check It Out! Example 2a
Simplify. All variables represent nonnegative
numbers.
75
25 3
25
5 3
Holt Algebra 1
3
Factor the radicand using perfect
squares.
Product Property of Square Roots.
Simplify.
11-6 Radical Expressions
Check It Out! Example 2a
Simplify. All variables represent nonnegative
numbers.
200
Factor the radicand using perfect
squares.
Product Property of Square Roots.
100 2
100
2
Simplify.
10 2
Holt Algebra 1
11-6 Radical Expressions
Check It Out! Example 2a
Simplify. All variables represent nonnegative
numbers.
90
9 10
9 10
Factor the radicand using perfect
squares.
Product Property of Square Roots.
Simplify.
3 10
Holt Algebra 1
11-6 Radical Expressions
Check It Out! Example 2a
Simplify. All variables represent nonnegative
numbers.
48
16 3
16
3
Factor the radicand using perfect
squares.
Product Property of Square Roots.
Simplify.
4 3
Holt Algebra 1
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