Question

Simplify:
4+3i / 5-2i

Answer 1

\[\frac{ 4+3i }{ 5-2i }\]

Answer 2

when simplifying a complex number in the denominator
you generally multiply the fraction by a special case of 1, that is the complex conjugate over the complex conjugate
\[ \frac{1}{a+bi}\frac{a-bi}{a-bi}=\frac{a-bi}{a^2 -b^2i^2}=\frac{1-bi}{a^2+b^2}\]

Answer 3

Thnx!