Complex Numbers Worksheet Page 2
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1
2Perform the addition or subtraction and write the result in standard form.
( )
(
)
(
)
(
)
⎛
⎞
7.
3 − i
+ 2 + 3 i
9.
4 i − −3 + 5 i
+ 2 − 6 i
8.
−4 + −4 − −4
⎝
⎠
Multiplying Complex Numbers: FOIL/Distribute
( a + bi )
( a − bi )
Complex Conjugates:
and
The product of complex conjugates will result in a real number.
(
)
(
)
(
)
8 i 4 − 3 i
3 − 5 i
3 + 5 i
10.
11.
( )
(
)
(
)
2
2 − i
4 + 3 i
13.
12.
5 − 3 i
Writing a Quotient of Complex Numbers in Standard Form: use the complex conjugate
2 + 3 i
5
14.
15.
−
2 i
4 − 2 i
Simplify the following complex numbers.
16.
i
17.
i
18.
i
19.
i
8
27
42
37
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