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

Responses

15
15

7−8i
7 minus 8 i

15i
15 i

−i
negative i

1 answer

To simplify the expression \(-\sqrt{49} - \sqrt{-64}\), we start by calculating each square root:

  1. \(-\sqrt{49} = -7\) (since the square root of 49 is 7).
  2. \(-\sqrt{-64} = -\sqrt{64} \cdot \sqrt{-1} = -8i\) (since \(\sqrt{-1} = i\) and \(\sqrt{64} = 8\)).

Now we combine the results:

\[ -\sqrt{49} - \sqrt{-64} = -7 - 8i \]

The simplified expression is:

\(-7 - 8i\)

Since this option is not directly listed in your responses, it may imply a typographical or presentation issue. However, based the answers provided, the closest form that represents a complex number is:

7 - 8i.

If this was a part of the intended response formats, it would represent the correct simplification despite the negative sign confusion.

If none of the response options reflect \(-7 - 8i\), there may have been an error in the answer key provided.