Complex Numbers Vocabulary & Properties Worksheet
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1
2Review of Solving Radical
Equations
Complex Numbers
x
5 12
2
x
7 3
8
+ =
− − = −
Objective: To simplify, add,
subtract and multiply complex
numbers.
VOCABULARY & Properties
Review of Simplifying Radicals
i
1
= −
Know the perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81,
100, 121, 144, 169, 196, 225,…,400, 625, 900, 1000,…
2
i
1
= −
i
__________ unit -- the number
18 ______
96
_______
=
−
=
Note: This is used to take the square root of
__________ numbers.
Complex Numbers -- numbers of the form
250 _______
2400 _______
=
−
=
_______ (
a is “real”, b is “imaginary”)
Example: 2 + 3
i
or 4 - 7
i
Example
Multiplication
When multiplying radicals with negatives, take
a
)
5
______
b
)
-28
_______
− =
=
the ________ first, then multiply. Otherwise,
you’ll get the wrong answer.
c
)
-32
_______
d
)
121 _______
=
− −
=
taking root first vs. multiplying first
Because
2
and
2
are easily confused,
i
i
-12 ( -2)
-12 ( -2)
we usually write
2
i
a
s
i
2
.
1
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