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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