Question

How do you perform the operation and write the result in standard form given `(-2+sqrt-8)+(5-sqrt-50)`?

Answer 1

`(-1+sqrt(-8))+(5-sqrt(-50))=4-3sqrt2i`

Explanation:

`(-1+sqrt(-8))+(5-sqrt(-50))`

= `(-1+sqrt(-2xx2xx2))+(5-sqrt(-2xx5xx5))`

= `-1+2sqrt2xxsqrt(-1)+5-5sqrt2xxsqrt(-1)`

= `-1+2sqrt2i+5-5sqrt2i`

= `4-3sqrt2i`