Subtract (3.4+−25−−−−√)−(−9−−9−−−√)

Question

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

Answer 1

To solve the expression \( (3.4 + \sqrt{-25}) - (-\sqrt{-9}) \), we start by simplifying each square root.

1. Simplify \(\sqrt{-25}\): \[ \sqrt{-25} = \sqrt{25} \cdot \sqrt{-1} = 5i \]

2. Simplify \(-\sqrt{-9}\): \[ -\sqrt{-9} = -\sqrt{9} \cdot \sqrt{-1} = -3i \]

Now substitute these values back into the original expression:

\[ (3.4 + 5i) - (-3i) \]

This simplifies to:

\[ 3.4 + 5i + 3i \]

Combine the imaginary parts:

\[ 3.4 + (5i + 3i) = 3.4 + 8i \]

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

\[ \boxed{3.4 + 8i} \]