Simplify the expression −49−−−−√−−64−−−−√.(1 point)%0D%0AResponses%0D%0A%0D%0A15%0D%0A15%0D%0A%0D%0A7−8i%0D%0A7 minus 8 i%0D%0A%0D%0A15i%0D%0A15 i%0D%0A%0D%0A−i

Answer 1

To simplify the expression \(-\sqrt{-49} - \sqrt{-64}\), we can start by expressing the square roots of the negative numbers in terms of imaginary units.

1. The square root of \(-49\): \[ \sqrt{-49} = \sqrt{49} \cdot \sqrt{-1} = 7i \]

2. The square root of \(-64\): \[ \sqrt{-64} = \sqrt{64} \cdot \sqrt{-1} = 8i \]

Now, substituting these results back into the expression: \[ -\sqrt{-49} - \sqrt{-64} = -7i - 8i \]

Combine the terms: \[ -7i - 8i = -15i \]

Thus, the simplified expression is: \[ -15i \]

So, the answer is \(-15i\).

However, since none of the provided options include \(-15i\), it seems there may be a misunderstanding in the instruction choices, or an option may have been omitted. The closest option in terms of imaginary values is \(15i\) (although it has the opposite sign and is not correct). The correct answer remains: \[ -15i \]