Chap9 Section2

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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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: 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. (6 x 11) 4
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902 Chapter 9 Radical Functions Version: Fall 2007 28. 16 h 8 29. 25 f 2 30. 25 j 8 31. 16 m 2 32. 25 a 2 33. (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. 25 f 14 39. (3 x + 6) 12 40. (9 x 8) 12 41. 36 x 2 + 36 x + 9 42. 4 e 2 43. 4 p 10 44. 25 x 12 45. 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 . 49. Given that x < 0 , place the radi- cal expression 27 x 12 in simple radical form. Check your solution on your cal- culator for x = 2 . 50. Given that x < 0 , place the radi- cal expression 44 x 10 in simple radical form. Check your solution on your cal- culator for x = 2 .
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