How do you perform the operation and write the result in standard form given (-2+sqrt-8)+(5-sqrt-50)(2+8)+(550)?

1 Answer
Sep 16, 2016

(-1+sqrt(-8))+(5-sqrt(-50))=4-3sqrt2i(1+8)+(550)=432i

Explanation:

(-1+sqrt(-8))+(5-sqrt(-50))(1+8)+(550)

= (-1+sqrt(-2xx2xx2))+(5-sqrt(-2xx5xx5))(1+2×2×2)+(52×5×5)

= -1+2sqrt2xxsqrt(-1)+5-5sqrt2xxsqrt(-1)1+22×1+552×1

= -1+2sqrt2i+5-5sqrt2i1+22i+552i

= 4-3sqrt2i432i