Question

(1+iroot12)-(-8+iroot3)

Answer 1

For this case we must simplify the following expression:

`(1 + i \sqrt {12}) - (- 8 + i \sqrt {3})`

We apply distributive property to the terms of the second parenthesis considering that:

`- * - = +\\- * + = -`

So:

`1 + i \sqrt {12} + 8-i \sqrt {3} =`

Rewriting:

`1 + i \sqrt {2 ^ 2 * 3} + 8-i \sqrt {3} =\\1 + 2i \sqrt {3} + 8-i \sqrt {3} =`

Adding similar terms:

`1 + 8 + 2i \sqrt {3} -i \sqrt {3} =\\9 + i \sqrt {3}`

Answer:

`9 + i \sqrt {3}`