Answer:
Step-by-step explanation:
7 + 3i / 2 - 5i would be clearer if written as (7 + 3i) / (2 - 5i). We must remove the symbol i from the denominator, and that can be accomplished by multiplying both 7 + 3i and 2 - 5i by the conjugate 2 + 5i:
(2 + 5i)(7 + 3i)
--------------------
4 + 29
which simplifies to 14 + 6i + 35i - 15 over 33, or
-1 + 41i
------------
33
