Defining complex numbers and (1.3.1) September 15th, 2015

Definitions Imaginary Unit : is the representation the non-real number. Imaginary Number: Has the form, where and. Complex Numbers: The combination of the real number system and the imaginary number system. Complex numbers are of the form, where is the real part and is the imaginary part.

So if, then what is the value of ? Of ? Of ? Of ? And what about or ?

Ex. 1: Identify the real and imaginary parts of the complex number. How do you know which is real and which is imaginary?

Ex. 2: Rewrite each radical in simplest terms within the complex number system. (You should use the imaginary unit i when necessary.) a) b) c) d) e)

How do we determine whether or not we need to use for any radical?

Ex. 3: Rewrite each complex number as a radical (do not include the imaginary unit i). a) b) c) d) e)

So what is the relationship between complex numbers, real terms, and imaginary terms.