Question

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

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