PED-HSM11A2TR-08-1103-006-L01.indd

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Name
Class
6-2
Date
Practice
Form G
Multiplying and Dividing Radical Expressions
Multiply, if possible. Then simplify.
1.
4.
3
4  25
2.
81  36
3.
45  3 75
5.
18  50
6.
3  27
3
16  3 4
Simplify. Assume that all variables are positive.
36x 3
7.
8.
125y 2 z 4
3
18k 6
9.
10.
3
16a12
11.
x 2 y10 z
12.
4
256s 7 t12
13.
3
216x 4 y 3
14.
75r 3
15.
4
625u 5 v8
3
50 x 2 z 5  3 15 y 3 z
Multiply and simplify. Assume that all variables are positive.
4 6
17.
9 x2  9 y5
18.
19. 4 2 x  3 8x
20.
xy  4 xy
21. 9 2  3 y
9 x 2 y 4  3 12 xy
24. 7 3 y 2  2 6 x3 y
16.
22.
12 x 2 y  3xy 4
23.
3
Divide and simplify. Assume that all variables are positive.
25.
75
63xy 3
26.
6x
3
4x 2
29.
3
3x
31.
(2 x ) 2
(5 y ) 4
2x2 y
7y
3
28.
54 x5 y 3
27.
3
32.
30.
x
18 y 2
3
4
33.
12 y
Prentice Hall Gold Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
13
243k 3
3k 7
162a
6a 3
Name
Class
6-2
Date
Practice (continued)
Form G
Multiplying and Dividing Radical Expressions
Rationalize the denominator of each expression. Assume that all variables are positive.
y
34.
5
9x
2
37.
4
40.
4
2x
3x 2
18 x 2 y
35.
36.
2 y3
xy
38.
3x
x
8y
41.
7 xy 2
3
43. What is the area of a rectangle with length
175 in. and width
44. The area of a rectangle is 30 m2. If the length is
3
4 x2
39.
3
x2
3y
42.
3
3a
4b2 c
63 in.?
75 m, what is the width?
45. The volume of a right circular cone is V  13  r 2 h , where r is the radius of the
base and h is the height of the cone. Solve the formula for r. Rationalize the
denominator.
4 3
r
3
a. Use the formula to find r in terms of V. Rationalize the denominator.
b. Use your answer to part (a) to find the radius of a sphere with volume 100 cubic inches.
Round to the nearest hundredth.
46. The volume of a sphere of radius r is V 
Simplify each expression. Rationalize all denominators. Assume that all
variables are positive.
47.
50.
14  21
6 2x
5 3
48.
51.
3
150  3 20
8
3
52.
2x 2
3( 12  6)
49.
5 3 xy 4
3
Prentice Hall Gold Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
14
25 xy 2
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