Use the properties of complex numbers to simplify (8+−16−−−−√)+(5−−36−−−−√) .(1 point) Responses 13+10i 13 plus 10 i 13+−52−−−−√ 13 plus Start Root negative 52 End Root −8−−−√+41−−√ Start Root negative 8 End Root plus Start Root negative 41 End Root 13−2i
To simplify (8+−16−−−−√)+(5−−36−−−−√), we can simplify the square roots separately and then combine the real and imaginary parts.
Starting with the first square root:
-√16 = -4
Secondly, the second square root:
-√36 = -6
Now we can combine the real and imaginary parts:
(8-4) + (5-6) = 4 - 1 = 3
Therefore, the simplified form is 3.