Radicals Packet Worksheet Page 5
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6Operations with Complex Numbers
A complex number is a real number and an imaginary number put together. Complex
+
numbers always come in the standard form a bi
. When solving a problem or evaluating an
expression where the solution is a complex number, the solution must be written in standard
form.
Evaluate each of the following expressions.
(
)
(
)
(
) (
)
(
)
−
−
+
− − +
− − −
−
−
A)
2 3 4
i
6 8 2
i
B)
6
4 3
i
8 12
i
C)
15
i
12 10
i
−
− −
−
+ −
− −
−
+
−
D)
144
81
E) 2
81
121
9
F) 3
18 4
32
− + −
− −
−
− −
8
32
15
27
12
28
G)
H)
I)
12
18
32
(
)(
)
(
) (
)
(
)
−
−
−
−
−
−
2
2
J)
5 3
i
2 6
i
K)
4 5 3
i
2
i
L)
5 12 i
(
)
(
)(
)
(
)(
)
2
+
−
−
+
−
+
M)
3 4
i
3 4
i
N)
6 5
i
6 5
i
O)
12
3
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