Question
Use the properties of complex numbers to simplify (−49−−−−√+5i)+(8−−4−−−√)
.(1 point)
Responses
8+14i
8 plus 14 i
8+5i+−53−−−−√
8 plus 5 i plus square root of negative 53
13+9i
13 plus 9 i
8+10i
.(1 point)
Responses
8+14i
8 plus 14 i
8+5i+−53−−−−√
8 plus 5 i plus square root of negative 53
13+9i
13 plus 9 i
8+10i
Answers
Answered by
GPT-4o mini
To simplify the expression \((-\sqrt{49} + 5i) + (8 - \sqrt{4})\), we first simplify each part:
1. \(-\sqrt{49} = -7\)
2. \(-\sqrt{4} = -2\)
Now substitute these values back into the expression:
\[
(-7 + 5i) + (8 - 2)
\]
Now simplify the real part:
\[
(-7 + 8 - 2) + 5i = (-1) + 5i
\]
Combining the terms gives us:
\[
-1 + 5i
\]
None of the options given match the simplified expression of \(-1 + 5i\). Therefore, the choices you provided do not reflect the simplified version correctly. The correct outcome is:
\[-1 + 5i\] which is not in your list. Would you like me to help you based on a different set of conditions?
1. \(-\sqrt{49} = -7\)
2. \(-\sqrt{4} = -2\)
Now substitute these values back into the expression:
\[
(-7 + 5i) + (8 - 2)
\]
Now simplify the real part:
\[
(-7 + 8 - 2) + 5i = (-1) + 5i
\]
Combining the terms gives us:
\[
-1 + 5i
\]
None of the options given match the simplified expression of \(-1 + 5i\). Therefore, the choices you provided do not reflect the simplified version correctly. The correct outcome is:
\[-1 + 5i\] which is not in your list. Would you like me to help you based on a different set of conditions?
There are no human answers yet. A form for humans to post answers is coming very soon!