Simplify the expression (sqrt 2/2 +i) - (sqrt 3/2 -i)
and write the result in the form a + bi.

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

i would need to see the dot plot : )