Question

Simplify the expression −49−−−−√−−64−−−−√ .(1 point)
Responses

15
15

7−8i
7 minus 8 i

−i
negative i

15i
15 i

Answer 1

To simplify the expression \(-\sqrt{49} - \sqrt{-64}\), we can break it down step by step:

1. Calculate \(-\sqrt{49}\):
\[
-\sqrt{49} = -7
\]

2. Calculate \(\sqrt{-64}\):
\[
\sqrt{-64} = \sqrt{64} \cdot \sqrt{-1} = 8i
\]

3. Now, combine these results:
\[
-\sqrt{49} - \sqrt{-64} = -7 - 8i
\]

Thus, the expression simplifies to:
\[
-7 - 8i
\]

None of the provided options directly match \(-7 - 8i\), but it appears that there is possibly a mixing of keys in the options. The correct and simplified result as interpreted correctly should be:

\[
-7 - 8i.
\]

So if we match that to given responses, we may need to verify if there are any typographical errors in the options listed; otherwise, the simplification stands as correct.