Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ Lesson 6 Homework Practice Square Roots and Cube Roots Find each square root. 1. √ 100 10 2. √ 144 12 3. √ -36 not possible 4. √ 121 11 5. √ -148 not possible 6. - √ 4 -2 7. - √ 9 -3 8. - √ 49 -7 9. √ 256 16 10. √ 529 23 11. √ 361 19 12. - √ 196 -14 Then estimate each square root to the nearest integer. 13. - √ 2 -1 14. √ 38 6 15. √ 249 16 16. √ 131 11 17. √ 7 3 18. √ 52 7 19. √ 168 13 20. √ 499 22 21. - √ 217 -15 Find each cube root. 22. 3 √ -125 -5 23. 3 √ 343 7 24. 3 √ 8 2 25. 3 √ 3375 15 26. 3 √ 729 9 27. 3 √ -1 -1 28. 3 √ -8000 -20 29. 3 √ 512 8 30. 3 √ -729 -9 31. 3 √ 1331 11 32. 3 √ -2744 -14 33. 3 √ 64 4 Estimate each cube root to the nearest integer. 34. 3 √ 647 9 35. 3 √ 325 7 36. 3 √ -805 -9 37. 3 √ 1603 12 38. 3 √ -3858 -16 39. 3 √ -4551 -17 40. 3 √ 181 6 41. 3 √ -1006 -10 42. 3 √ 7852 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. About how far could a visitor see on a clear day? Use the equation d = 1.22 √ h where d is 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