Question

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

Answer 1

A)

Explanation:

Answer 2

a sqrt(2) - sqrt(3)

----------------------- + 2i

2

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