Download 7-2 Day 1 Multiplying Radical Expressions

7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
7­2 Day 1 ­ Multiplying Radical Expressions
Objective: Multiply radical expressions.
Jan 19­1:20 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Check Skills You'll Need:
Find each missing factor.
1. 150 = 52( )
2. 54 = ( )3(2)
3. 48 = 42( )
4. x5 = ( )2(x)
5. 3a3b4 = ( )3(3b)
6. 75a7b8 = ( )2(3a)
Jan 19­1:21 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Simplify each of the following expressions and look for a pattern.
√16 √9
√16 9
4 3
√144
12
12
∛­8 ∛27
∛­8 27
­2 3
∛­216
­6
­6
Jan 19­1:22 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Multiplying Radical Expressions
*Same root
Dec 21­9:30 AM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Example #1: Multiply. Simplify if possible.
a. √2 √8
b. ∛­5 ∛25
√16
∛­125
4
­5
c. √-2 √8
√-2 is not a real number
Jan 19­1:23 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Example #2: Multiply. Simplify if possible.
a. √3 √12
b. ∛3 ∛­9
c. ∜4 ∜­4
Jan 19­1:24 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Example #3: Simplify each expression. Assume that all variables are positive. Then absolute value symbols are never needed in the simplified version.
a. √72x3
b. ∛80n5
√36x2 2x
∛8x3 10n2
6x√2x 2x∛10n2
Jan 19­1:24 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Example #4: Simplify each expression. Assume that x positive. a. √50x4
b. ∛18x4
Dec 21­9:30 AM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Example #5: Multiply and simplify. Assume that all variables are positive.
2 3
3 4
∛54x y ∛5x y
∛270x5y7 ∛27x3y6 10x2y 3xy2∛10x2y
Jan 19­1:25 PM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Example #6: Multiply and simplify. Assume that all variables are positive.
3√7x3 2√21x3y2
6√147x6y2 6√49x6y2 3 42x3y√3
Dec 21­9:30 AM
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7­2 Day 1 Multiplying Radical Expressions
January 28, 2009
Homework:
page 377 (1 ­ 22)
Jan 19­1:33 PM
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