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Name _____________________________________________ Algebra II & Trigonometry A2.N.6 Write square roots of negative numbers in terms of i In 1 – 24, express each number in terms of i, and simplify. 1. 36 2. 100 5. 1 64 8 6. 2 9 3 1 4 10. 13. 3 14. 29 17. 20 18. 28 21. 2 72 3 9. Date ______________________________________ Imaginary Numbers Worksheet 22. 16 25 1 300 2 3. 81 7. 3 144 4 11. 4 49 64 4. 2 49 8. 12. 1 25 3 3 100 5 9 15. 3 11 16. 10 19. 2 75 20. 5 8 23. 1 3 24. 4 1 8 Name _____________________________________________ Algebra II & Trigonometry A2.N.7 Date ______________________________________ Powers of i Worksheet Simplify powers of i In 1 – 15, write each given power of i in simplest terms as 1, i, –1, or –i. Show how you arrived at your answer. 1. i 12 2. i 7 3. i 49 4. i 72 5. i 54 6. i 99 7. i 300 8. i 246 9. i 91 10. i 473 11. i 1331 12. i 2001 13. i 8 i 9 i 10 14. i 8 i 9 i 10 15. 2i 2 3i 3 Name _____________________________________________ Algebra II & Trigonometry A2.N.9 Date ______________________________________ Arithmetic Operations on Imaginary Numbers Worksheet Perform arithmetic operations on complex numbers and write the answer in the form a + bi In 1 – 13, write each number in terms of i, perform the indicated operation, and write the answer in simplest form. 2. 3 4 121 1. 64 36 3. 100 9 4. 16 2 4 5. 49 1 6. 81 25 7. 2 18 8. 4 3 3 9. 3 10 2 10 11. 10. 400 12. 25 13. Express in terms of i the sum 72 32 3 8 2 7 63 3 48 4 3