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**Unformatted text preview: **Section 9.2 Multiplication Properties of Radicals 901 Version: Fall 2007 9.2 Exercises 1. Use a calculator to first approximate √ 5 √ 2. On the same screen, approximate √ 10. Report the results on your home- work paper. 2. Use a calculator to first approximate √ 7 √ 10. On the same screen, approxi- mate √ 70. Report the results on your homework paper. 3. Use a calculator to first approximate √ 3 √ 11. On the same screen, approxi- mate √ 33. Report the results on your homework paper. 4. Use a calculator to first approximate √ 5 √ 13. On the same screen, approxi- mate √ 65. Report the results on your homework paper. In Exercises 5- 20 , place each of the rad- ical expressions in simple radical form. As in Example 3 in the narrative, check your result with your calculator. 5. √ 18 6. √ 80 7. √ 112 8. √ 72 9. √ 108 10. √ 54 11. √ 50 12. √ 48 13. √ 245 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 14. √ 150 15. √ 98 16. √ 252 17. √ 45 18. √ 294 19. √ 24 20. √ 32 In Exercises 21- 26 , use prime factor- ization (as in Examples 10 and 11 in the narrative) to assist you in placing the given radical expression in simple radi- cal form. Check your result with your calculator. 21. √ 2016 22. √ 2700 23. √ 14175 24. √ 44000 25. √ 20250 26. √ 3564 In Exercises 27- 46 , place each of the given radical expressions in simple rad- ical form. Make no assumptions about the sign of the variables. Variables can either represent positive or negative num- bers. 27. ð (6 x − 11) 4 902 Chapter 9 Radical Functions Version: Fall 2007 28. √ 16 h 8 29. ð 25 f 2 30. ð 25 j 8 31. √ 16 m 2 32. √ 25 a 2 33. ð (7 x + 5) 12 34. √ 9 w 10 35. √ 25 x 2 − 50 x + 25 36. √ 49 x 2 − 42 x + 9 37. √ 25 x 2 + 90 x + 81 38. ð 25 f 14 39. ð (3 x + 6) 12 40. ð (9 x − 8) 12 41. √ 36 x 2 + 36 x + 9 42. √ 4 e 2 43. ð 4 p 10 44. √ 25 x 12 45. ð 25 q 6 46. √ 16 h 12 47. Given that x < 0, place the radical expression √ 32 x 6 in simple radical form. Check your solution on your calculator for x = − 2. 48. Given that x < 0, place the radical expression √ 54 x 8 in simple radical form. Check your solution on your calculator for x = − 2....

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