Question

se the properties of complex numbers to simplify (−49−−−−√+5i)+(8−(−4)−−−−√)
.(1 point)
Responses

8+10i
8 plus 10 i

8+14i
8 plus 14 i

8+5i+−53−−−−√
8 plus 5 i plus square root of negative 53

13+9i

Answer 1

I can’t be sure how to read your expression from the formatting. If you mean

(√(−49) + 5i) + (8 − √(−4))

then use the principal square roots: √(−49)=7i and √(−4)=2i. So

(7i + 5i) + (8 − 2i) = 8 + 10i.

That matches the option 8+10i. If your expression was meant differently, please repost it using sqrt(...) notation (for example sqrt(-49)) and I’ll simplify.