I need to eliminate the imaginary numbers from the denominator of the following equation and I have no idea where to start.
3/(s+2-2i)
Please help!
It may help to consider this as a similar method (the exact same, actually) as another you've doubtless run into: rationalizing the denominator. Consider the similarities in the two following "simplification" problems.Originally Posted by afn2
$\displaystyle \frac{3}{2+\sqrt{5}}$
and
$\displaystyle \frac{3}{2+i} = \frac{3}{2+\sqrt{-1}}$
In each case the denominator takes the form $\displaystyle a+\sqrt{b}$ and you need to multiply the denominator by $\displaystyle a-\sqrt{b}$ to remove the square root.
-Dan