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Algebra 2 12.1 Perfect Squares/Cubes Name________________________ Period 1 2 3 4 5 6 7 NOTES: List the perfect squares from 1 – 15. 12 = 1 1 =1 92 = = 22 = 4 4 =2 102 = = 32 = = 112 = = 42 = = 122 = = 52 = = 132 = = 62 = = 142 = = 72 = = 152 = = 82 = = Find the square root. a. b. 121 c. 1 d. 169 81 9 If the number under the radical sign is negative, the answer is _________________ A perfect cube is when a number under a cube root sign has a number multiplied by itself 3 times that equals it. 38 = 2 2 2 so the 3 8 = 2 3 343 Reference Glencoe Textbook: Page P7 Chapter 0-2 = 7 7 7 so the 3 343 = 7 List the perfect cubes from 1 – 10. 31 =1 3 38 =2 3 =6 3 =3 3 =7 3 =4 3 =8 =5 3 =9 3 = 10 Is it possible to take a cube root of a negative number? 3 27 Test it out? Find the CUBE ROOT. a. b. 125 3 c. 8 43 216 d. 36 3 - 64 Estimate the SQUARE ROOTS and CUBE ROOTS to the nearest tenth. a. 3 b. 33 c. 3 200 85 Reference Glencoe Textbook: Page P7 Chapter 0-2 d. 3 30 Algebra 2 12.1 Perfect Squares/Cubes ASSIGNMENT: Name________________________ Period 1 2 3 4 5 6 7 Simplify the following SQUARE ROOTS ~ write no solution if it can’t be simplified 1. 100 5. 16 9. 4 81 13. 3 27 17. 3 1000 2. 64 6. 121 10. 225 16 14. 3 1 18. 3 64 81 3 64 25 7. 36 16 16 9 11. 15. 3 8 19. 3 27 8 Simplify the following radicals 21. 3. 144 3 216 22. 4. 1 8. 25 9 36 4 12. 16. 3 27 20. 3 1 125 23. 4 9 38 C Level (#21-24) 24. 6 25 3 125 Estimate the following SQUARE roots and CUBED roots. Round your answer to the nearest tenth. 25. 10 is between 27. 55 is between and and Reference Glencoe Textbook: Page P7 Chapter 0-2 26. 28 is between 28. 120 is between and and 29. The approximate decimal value of a. 2 b. 2.2 c. 2.8 d. 3 31. 3 30 is between 3 30. The approximate decimal value of a. 7 b. 7.2 c. 7.7 d. 8 5 32. and 3 3 120 is between 3 RANDOM ANSWER KEY 10 4 -10 1 No Real Solution 11 24 15 18 60 No Real Solution 12 5 1 -2 8 No Real Solution 3 -6 3.2 5 -3 10 7.4 5.3 6 10.9 25 b c Reference Glencoe Textbook: Page P7 Chapter 0-2 4.9 3.1 and 3 60