Question

how about simplify the (square root of 2 over 2 +i)-(square root of 3 over 2 -i)

Answer 1

probably best to rewrite each number in standard form first, then subtract

Answer 2

so you know how to write
\[\frac{\sqrt{2}}{2+i}\] in the form
\[a+bi\]?

Answer 3

*do, not "so"