<PRE><B>Question 404515</B>
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Rationalize the denominator by multiplying both numerator and denominator by the conjugate of the denominator.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{6\ -\ i}{6\ +\ 3i}\right)\left(\frac{6\ -\ 3i}{6\ -\ 3i}\right)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{36\ -\ 6i\ +\ 18i\ +\ 3}{36\ +\ 9}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{39\ +\ 12i}{45}\ =\ \frac{13\ +\ 4i}{15}]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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