( 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:

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