SOLUTION: Simplify: 2 / 2-4i

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Simplify: 2 / 2-4i      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 239915: Simplify: 2 / 2-4i
Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!


That depends on whether you mean



Which simply becomes



Or



Which requires that you rationalize the denominator by multiplying by 1 in the form of the conjugate of your complex denominator divided by itself.

The conjugate of a complex number is . So you need to multiply your expression by



Since the denominator is now the factors of the difference of two squares, the imaginary part will disappear. I'll let you do your own arithmetic, but remember

John