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complex numbers

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Algebra 2
Name___________________________________ ID: 1
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complex and radicals
Date________________ Period____
The absolute value of a complex number a +bi is the square root of a square plus b square. Find
the absolute value of each complex number.
1) -8 - 17i
2) -20 + 23i
To graph a complex number a + bi, graph the point (a,b). Graph each number in the complex
plane.
3) 2 + 4i
4) 5i
Imaginary
Imaginary
Real
5)
Real
6)
Imaginary
Imaginary
Real
Real
Simplify.
7) (9 + 7i) - (-6 - 5i) - 4
8) (-2 - 8i) + (6 + 8i) - 11
9) (10i)(-11 + 7i)(7 + 3i)
10) (-11i)(-6 + 8i)(4 + i)
11)
-8
-i
12)
4
-10i
13)
-6 + i
-9i
14)
5i
6 + 4i
Worksheet by Kuta Software LLC
-1-
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15)
-7 + 4i
5 - 7i
16)
17)
6 - 6i
7 + 3i
18)
19)
9-
2
8 3+
20)
6
-4 - 9i
-8 - i
7+
2
5-
3
4 - 3 10
-1 +
7
Simplify. Assume that all variables are positive.
3
21)
73
2a
-7 +
4
22)
2
4
23)
3
a
v
-2 +
3
p
4p
24) Evaluate i to the 271 power
v2
Worksheet by Kuta Software LLC
-2-
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Algebra 2
Name___________________________________ ID: 1
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complex and radicals
Date________________ Period____
The absolute value of a complex number a +bi is the square root of a square plus b square. Find
the absolute value of each complex number.
1) -8 - 17i
2) -20 + 23i
353
929
To graph a complex number a + bi, graph the point (a,b). Graph each number in the complex
plane.
3) 2 + 4i
4) 5i
Imaginary
Imaginary
Real
5)
Real
2 + 5i
Imaginary
6)
-4
Imaginary
Real
Real
Simplify.
7) (9 + 7i) - (-6 - 5i) - 4
11 + 12i
8) (-2 - 8i) + (6 + 8i) - 11
-7
9) (10i)(-11 + 7i)(7 + 3i)
-160 - 980i
10) (-11i)(-6 + 8i)(4 + i)
286 + 352i
11)
13)
-8
-i
-8i
-6 + i -6i - 1
-9i
9
12)
2i
4
-10i 5
14)
5i
15i + 10
6 + 4i
26
Worksheet by Kuta Software LLC
-1-
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15)
-7 + 4i -63 - 29i
5 - 7i
74
16)
17)
6 - 6i 12 - 30i
7 + 3i
29
18)
19)
9-
2
8 3+
-4 - 9i 41 + 68i
-8 - i
65
7+
5-
74 3 - 17 6
186
6
20)
2 35 + 7 3 + 5 2 +
22
3
6
4 - 3 10 4 + 4 7 - 3 10 - 3 70
6
-1 + 7
Simplify. Assume that all variables are positive.
3
21)
3
a 7 4a 3
2
2a
2a
4
23)
3
7-
4
v -7 v 2 +
4 2
v
v
-7 +
4a 2
4
v3
3
22)
3
3
p -2 2 p 2 + p 2
3
2p
4p
-2 +
24) Evaluate i to the 271 power
-i
Worksheet by Kuta Software LLC
-2-
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