Question

How do you simplify (2 + square root of -3)(-1 + square root of -12)?

Answer 1

`-8 + 3i sqrt 3`

Explanation:

`(2 + i sqrt 3)(-1 + i sqrt 12)`

`= -2 + 2i sqrt 12 - i sqrt 3 - sqrt 36`

`= -2 -6 + i(2 * 2 sqrt 3 - sqrt 3)`