Question

How do you perform the operation and write the result in standard form given `(8+sqrt(-18))-(4+3sqrt2i)`?

Answer 1

`(8+sqrt(-18))-(4+3sqrt2 i)=4`

Explanation:

While dealing with complex numbers always remember `i^2=-1` and `sqrt(-1)=i`.

Hence, `(8+sqrt(-18))-(4+3sqrt2 i)`

= `(8+sqrt(3×3×2×(-1)))-(4+3sqrt2 i)`

= `8+3sqrt2 i-4-3sqrt2 i`

= `4`