Question

Someone please help with solving this problem so I can use it as an example for others!!

Answer 1

2+3i
------ should be multiplied (numerator and denominator both) by 2+i.  This will 
2-i        remove i from the denominator.

(2+3i)        2+i           4 + 2i + 6i - 3        1 + 8i
--------  * ----------- = ---------------------- =  ---------- (answer)
   2-i           2+i                   4+(-1)                8

You could also write this as (1/8) + i.