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Alg 2 Imaginary & Complex Numbers
Imaginary Number: the number
 1 is called the imaginary number and it is represented as ‘i’
Any negative number under the radical sign can be written in terms of ‘i’.
1  i
i2 =
Complex number: A complex number is a number that can be written in the form ‘a+bi’ where a and b
are real numbers (including 0), eg. 3 + 4i; 6i,
‘a’ represents the real part of the complex number and ‘b’ represents the imaginary part of the
complex number.
Simplifying:
1)
 16
2)
 12
3)
 21
Adding & Subtracting: Simplify, then add like terms.
4)
20   50
5) (3  2i )  (6  5i )
6) (3 
 12 )  (7   27 )
Multiplying: Simplify, then multiply:
7)
2i  3i
8)
 6   24
9)  3i ( 4  5i )
10) (2-4 i )( 2  i )
Dividing: Simplify, then divide.
11)
 20
 4
Try these:
a)
 48
b) (12 
 50 )  (7   8 )
c) (4  7i )( 2  3i )
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