Use the properties of complex numbers to simplify completely (7−−64−−−−√)+(6+3i)

Answer 1

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

\[ \sqrt{64} = 8 \]

Now, we can rewrite the expression:

\[ (7 - 8) + (6 + 3i) \]

Simplifying \(7 - 8\):

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

Now, combine the real parts:

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

Calculating the real part:

\[ 5 + 3i \]

Thus, the simplified expression is:

\[ \boxed{5 + 3i} \]