Question

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

13+9i
13 plus 9 i

8+10i
8 plus 10 i

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

8+14i

Answer 1

Simplify each square root: √(−49) = 7i and √(−4) = 2i.

So (√(−49) + 5i) + (8 − √(−4)) = (7i + 5i) + (8 − 2i) = 8 + 10i.

Answer: 8 + 10i.