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

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d