NAME ___________________________________________________ DATE _____________________ PERIOD __________
Lesson 6 Homework Practice
Square Roots and Cube Roots
Find each square root.
10
1. √100
2. √
144
12
4. √
121 11
5. √
-148
7. - √
9 -3
8. - √
49
not possible
-7
11. √
361
10. √
529 23
not possible
3. √
-36
6. - √4 -2
16
9. √
256
19
-14
12. - √
196
Then estimate each square root to the nearest integer.
13. - √
2 -1
14. √
38
16. √
131 11
17. √
7 3
19. √
168 13
20. √
499
22
21. - √
217
3
23. √
343
7
3
24. √
8 2
3
26. √
729
9
3
27. √
-1
3
29. √
512
8
3
30. √
-729
6
16
15. √
249
18. √
52
7
-15
Find each cube root.
3
22. √
-125
15
3
28. √
-8000
3
31. √
1331
-20
11
3
32. √
-2744
-14
3
33. √
64
-1
-9
4
Estimate each cube root to the nearest integer.
3
34. √
647 9
3
35. √
325
3
37. √
1603
3
38. √
-3858
-16
3
39. √
-4551
3
41. √
-1006
-10
3
42. √
7852
12
3
40. √
181 6
3
36. √
-805
7
-9
-17
20
43. A square tarpaulin covering a softball field has an area of 441 m 2. What is the length of one
side of the tarpaulin? 21 m
44. The volume of a cube is 2744 m 3. What is the length of an edge of the cube? 14 m
45. The highest observation deck on the Eiffel Tower in Paris is about 899 feet above the ground.
h where d is
About how far could a visitor see on a clear day? Use the equation d = 1.22 √
the distance to the horizon in miles and h is the person’s distance from the ground in feet.
about 36.6 mi
Math Accelerated • Chapter 4 Powers and Roots
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
3
25. √
3375
-5