Use the properties of complex numbers to simplify completely: (7−−64−−−−√)+(6+3i) (1 point) Responses 13−5i 13 minus 5 i 13+11i 13 plus 11 i 8i 8 i 1−5i

1 answer

To simplify the expression \((7 - \sqrt{64}) + (6 + 3i)\), we will first simplify \(\sqrt{64}\).

Since \(\sqrt{64} = 8\), we can substitute this into the expression:

\[ 7 - \sqrt{64} = 7 - 8 = -1 \]

Now we will rewrite the original expression:

\[ (-1) + (6 + 3i) = -1 + 6 + 3i \]

Now, combine the real parts:

\[ (-1 + 6) + 3i = 5 + 3i \]

So the simplified expression is:

\[ 5 + 3i \]

None of the provided options directly mentioned \(5 + 3i\). If there was an error in recognizing the calculation, the correct answer based on options given does not appear to be present.