Answer:
a sqrt(2) - sqrt(3)
----------------------- + 2i
2
Step-by-step explanation:
(sqrt 2/2 +i) - (sqrt 3/2 -i)
Add the real terms
sqrt(2) / 2 - sqrt(3) /2
sqrt(2) - sqrt(3)
-----------------------
2
Now add the imaginary terms
i - -i
i+i
2i
Put them back together
sqrt(2) - sqrt(3)
----------------------- + 2i
2
