Question

How do you simplify `(-9 - sqrt(-3)) ^2`?

Answer 1

`(-9-sqrt(-3))^2=78+18sqrt(-3)`

Explanation:

As `(a-b)^2=a^2-2ab+b^2`

`(-9-sqrt(-3))^2`

= `(-9)^2-2×(-9)×sqrt(-3)+(sqrt(-3))^2` or

= `81+18sqrt(-3)-3` or

= `78+18sqrt(-3)`