Question

( square root -25 + 2i ) + 5i + ( 9 - square root 36)

Answer 1

Let's simplify the expression step by step:

1. Start with the expression:

\[
\sqrt{-25} + 2i + 5i + (9 - \sqrt{36})
\]

2. Simplify \(\sqrt{-25}\):

\[
\sqrt{-25} = 5i
\]

3. Simplify \(\sqrt{36}\):

\[
\sqrt{36} = 6
\]

4. Substitute these values back into the expression:

\[
5i + 2i + 5i + (9 - 6)
\]

5. Combine the \(i\) terms:

\[
(5i + 2i + 5i) = 12i
\]

6. Finally, simplify the constant terms:

\[
9 - 6 = 3
\]

So, the expression becomes:

\[
3 + 12i
\]

The final result is:

\[
\boxed{3 + 12i}
\]