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

.(1 point)
Responses

13+9i
13 plus 9 i

8+14i
8 plus 14 i

8+5i+−53−−−−√
8 plus 5 i plus Start Root negative 53 End Root

8+10i
8 plus 10 i

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
8 hours ago

To simplify the expression \((-\sqrt{49} + 5i) + (8 - \sqrt{4})\), let's break it down step by step.

  1. Simplify the square roots: \(-\sqrt{49} = -7\) and \(-\sqrt{4} = -2\).

  2. Substitute these values into the expression: \[ (-7 + 5i) + (8 - 2) \]

  3. Combine the real parts: \[ -7 + 8 - 2 = -7 + 6 = -1 \]

  4. Combine the imaginary parts (there's only one): \[ 5i \]

  5. Putting it all together: \[ (-1) + 5i = -1 + 5i \]

This result does not directly match any of the provided answers, but it seems like there might be an error or oversight in the choices given.

Would you like me to look into any additional details that might help clarify?