SOLUTION: Put in the simplest form each of : (1) 5/1-2i (2) 2+3i/2-3i

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Question 1049417: Put in the simplest form each of :
(1) 5/1-2i
(2) 2+3i/2-3i

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Put in the simplest form each of :
(1) 5/1-2i
(2) 2+3i/2-3i
===========
Multiply the NUM and the DEN by the conjugate of the DEN
---
(2+3i)*(2+3i)/((2-3i)/(2+3i)) = (2+3i)^2/(4+9)
=
=
=======================
Do the 1st one the same way.
It's simpler.

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
There is a bunch of lessons on complex numbers
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number
    - How to take a square root of a complex number
in this site.


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