Skills Practice

NAME ______________________________________________ DATE______________ PERIOD _____

7-5

Skills Practice Operations with Radical Expressions

Simplify. 1. Ï24 w

2. Ï75 w

3

4

3. Ï16 w

4. 2Ï48 w

5. 4Ïw 50x5

6. Ïw 64a4b4w

Îã 1 8

2 } d 2f 5

3

8.

Îã

9. 2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

11.

3 } 7

10.

Îã 2g3 }} 5z

Îã

25 } s2t 36

Îã 3

2 } 9

12. (3Ï3 w )(5Ï3 w)

13. (4Ï12 w )(3Ï20 w)

14. Ï2 w 1 Ï8 w 1 Ï50 w

15. Ï12 w 2 2Ï3 w 1 Ï108 w

16. 8Ï5 w 2 Ï45 w 2 Ï80 w

17. 2Ï48 w 2 Ï75 w 2 Ï12 w

18. (2 1 Ï3 w )(6 2 Ï2 w)

19. (1 2 Ï5 w )(1 1 Ï5 w)

20. (3 2 Ï7 w )(5 1 Ï2 w)

21. (Ï2 w 2 Ï6 w)

4 3 1 Ï2 w

23. }

Chapter 7

2

3 7 2 Ï2 w

22. }

Lesson 7-5

7.

4

5 8 2 Ï6 w

24. }

37

Glencoe Algebra 2

NAME ______________________________________________ DATE______________ PERIOD _____

7-6

Skills Practice Rational Exponents

Write each expression in radical form. 1 }}

1 }}

1. 3 6

2. 8 5 2 }}

3 }}

4. (s3) 5

3. 12 3

Write each radical using rational exponents. 3

5. Ï51 w

6. Ï37 w

7. Ïw 153

8. Ïw 6xy2

4

3

Evaluate each expression. 1 }}

1 }}

9. 32 5

10. 81 4 1

11. 27

1

2}3}

12. 42}2} 4 }}

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3 }}

13. 16 2

14. (2243) 5

1 }}

5 }}

15. 27 3 ? 27 3

3 }} 2

1 49 2

16. }

Simplify each expression. 12 }}

3 }}

17. c 5 ? c 5

1 23 1 }}

19. q 2

6

2 }1} 1

21. x

2 }}

1

20. p2}5}

2 }}

x3 22. } 1 }} x4

1

2} }

y 2 23. } 1 }} y4 12

w 25. Ï64

Chapter 7

16 }}

18. m 9 ? m 9

1 }}

n3 24. } 1 1 }} }} n6 ? n2

26. Ïw 49a8b2w 8

44

Glencoe Algebra 2