5.9 C OMPLEX N UMBERS Algebra II w/ trig. I. Imaginary numbers:(it is used to write the square root of a negative number) A. B. If r is a positive real.

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5.9 C OMPLEX N UMBERS Algebra II w/ trig

I. Imaginary numbers:(it is used to write the square root of a negative number) A. B. If r is a positive real number, then = C. Examples: (simplify)

II. If **For larger exponents, divide the exponent by 2, then use the remainder as your exponent instead** A.B.

C.D. E.F.

III. Complex number is any number that can be written as A complex number has a real part and an imaginary part. Standard form is where a is the real part and bi is the imaginary part. Rules are the same as they are with variables, except you can not leave an i with an exponent other than one.

A. Adding and Subtracting Add or subtract the real parts, then add or subtract the imaginary parts 1.2.

C.D. (4 – 2i) + ( 3 – 3i) + ( -4 +7i)

B. Multiplying: Treat the i’s like variables, then change any that are not to the first power. 1.2.

C.D.