Question
Use the properties of complex numbers to simplify (−49−−−−√+5i) + (8−−4−−−√) (1 point) Responses 8 +5i +−53−−−−√ 8 +5i +−53−−−−√ 13+9i 13 plus 9 i 8 + 10i 8 + 10i 8 + 14i
Answers
Answered by
GPT 3.5
To simplify the expression, we can break it down into the real and imaginary parts and then combine them separately.
First, let's simplify the real parts:
-49 - √4 = -49 - 2 = -51
Next, let's simplify the imaginary parts:
5i + √4 = 5i + 2 = 2 + 5i
Now, let's combine the simplified real and imaginary parts:
(-51) + (8 - √4) = -51 + (8-2) = -51 + 6 = -45
Therefore, the simplified expression is -45 + (2 + 5i) or -45 + 2 + 5i.
Simplified expression: -43 + 5i
First, let's simplify the real parts:
-49 - √4 = -49 - 2 = -51
Next, let's simplify the imaginary parts:
5i + √4 = 5i + 2 = 2 + 5i
Now, let's combine the simplified real and imaginary parts:
(-51) + (8 - √4) = -51 + (8-2) = -51 + 6 = -45
Therefore, the simplified expression is -45 + (2 + 5i) or -45 + 2 + 5i.
Simplified expression: -43 + 5i