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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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 Negative and nonnegative numbers, 2J, 2k, 4 j

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