Name
Class
Date
Practice
10-2
Form K
Simplifying Radicals
Simplify each radical expression.
1. 196
2. 28
3. - 275
4. 3 12
5. -5 128
6. 9a 243
7 324x
2
4
2 4
8. 3 27m n
9. -2 147a b
11. 2 18 i 75
12.
14. 24a i 32b
15. 15 x i 20 xy
Simplify each product.
10. 12 i 20
(
13. 10 12 i -9 27
2
3
)
16. 3 50 f g i 63 fg
7 2
2
17. xy z i x yz
3
1
72 i 3 48
2
2
(
18. 4 15hk i -8 5hk
)
19. A carpenter is building rectangular walls for a room addition. The width of a
section of wall is two times the height h. Each section has a brace that connects
two opposite corners of the section. What is a simplified expression for the length
of a brace?
20. A walking path is shaped like a rectangle with a width 7 times its length l. What is a
simplified expression for the distance between opposite corners of the walking path?
Prentice Hall Foundations Algebra 1 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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Name
Class
10-2
Date
Form K
Practice (continued)
Simplifying Radicals
Simplify each radical expression.
21.
36
25
22.
121
361
23. 5
1
7
6
3y
24.
Explain why each radical expression is or is not in simplified form.
25
12n
n
26.
27. 5 2
5
5
28. 12 24
Simplify each radical expression.
29.
s
t
31.
3
30.
3
5 3
12
32.
120
6
5x
49 x
2
33. Writing Describe when it is necessary to rationalize the denominator. Explain
how you do this. Provide an example to demonstrate.
Prentice Hall Foundations Algebra 1 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
16