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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 )