SOLUTION: Simplify: 2 / 2-4i
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Question 239915: Simplify: 2 / 2-4i
Answer by solver91311(24713) (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 
\left(\frac{2+4i}{2+4i}\right))
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
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