Question

How to simplify this equation?

Answer 1

Here see the attachment

Answer 2

10/9 +
`(1)/(3) √(10)` i

Explanation:

(
`(1)/(3) √(5)` -
`(1)/(2) √(2)`i) ² =

(
`(1)/(3) √(5)` )² + 2(
`(1)/(3) √(5)`
`(1)/(2) √(2)`)i - (
`(1)/(3) √(5)`i) ² =

5/9 +
`(1)/(3) √(5)`
`√(2)` i - (5/9. (-1)) =

10/9 +
`(1)/(3) √(10)` i