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Name Class Date 6-2

Multiplying and Dividing Radical Expressions

**For Exercises 1−5, choose the correct letter. Assume that all variables are positive.**

** 1. **

What is the simplest form of 3 49

*x*

7

*x*

7

*x*

7

*x*

3 7

*x*

2 ?

**B**

7

*x*

7 3

*x*

2

** 2. **

What is the simplest form of 2

*x*

3

*y*

3 20

*x*

80 4

*x*

6

*y*

6

*x*

7

*y*

5 6

*x*

?

3

**I**

4 5

*x*

7

*y*

6

** 3. **

What is the simplest form of 3 25

*xy*

2 5

*x*

3 3

*y*

2 5

*x*

3 3

*y*

3 15

*x*

2 ?

**A**

15

*xy*

3

*y*

4

*x*

3

*y*

3 5

*x*

5

*xy*

15

*x*

** 4. **

What is the simplest form of 5 2 3

*x*

4 3

*y*

2 5

*x*

2 2

*y*

75

*x*

5 12

*xy*

2 ?

**G 5. **

What is the simplest form of 2 3 3

*x*

2

*y*

?

4

*xy*

2 3

*x*

2

*y*

2

*y x*

3

*y*

2

*y*

**C**

5

*x*

2

*y x*

3 2

*xy*

2

*y*

5

*x*

2

*y*

2 3 2

*y xy*

** 6. **

The volume

*V*

of a wooden beam is

*V ls*

2 , where

*l *

is the length of the beam and

*s*

is the length of one side of its square cross section. If the volume of the beam is 1200 in.

3 and its length is 96 in., what is the side length? Show your work.

**[2] **

*V ls*

**2 ; **

*s*

Z

*V l*

Z

**1200 96 12.5**

*

**3.5**

**in.**

**[1] appropriate methods but with computational errors OR correct answer without work shown [0] incorrect answer and no work shown OR no answer given 1SFOUJDF)BMM"MHFCSB t**

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