Evaluate the subtraction (13+−225−−−−√)−(49−−√−2i)

Question

. Provide the answer in the form of a+bi
.(1 point)

Answer 1

To evaluate the expression \((13 + -\sqrt{225}) - (\sqrt{49} - 2i)\), we need to simplify each part of the expression step by step.

1. Calculate \(-\sqrt{225}\): \[ -\sqrt{225} = -15 \]

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

Now we can substitute these results back into the expression:

\[ (13 - 15) - (7 - 2i) \]

3. Calculate the first part: \[ 13 - 15 = -2 \]

Now the expression becomes:

\[ -2 - (7 - 2i) \]

Next, distribute the negative sign:

\[ -2 - 7 + 2i \]

4. Combine the real parts: \[ -2 - 7 = -9 \]

Thus, the entire expression simplifies to:

\[ -9 + 2i \]

The final answer in the form \(a + bi\) is:

\[ \boxed{-9 + 2i} \]