To find the imaginary part of the complex number \( 9.2 - 3 - \sqrt{-8} \), we need to simplify the expression.
First, simplify \( \sqrt{-8} \):
\[ \sqrt{-8} = \sqrt{8} \cdot \sqrt{-1} = \sqrt{8}i = 2\sqrt{2}i \]
Now substitute this back into the original expression:
\[ 9.2 - 3 - \sqrt{-8} = 9.2 - 3 - 2\sqrt{2}i \]
Combine the real parts:
\[ 9.2 - 3 = 6.2 \]
So the complex number simplifies to:
\[ 6.2 - 2\sqrt{2}i \]
In this expression, the imaginary part is the coefficient of \(i\):
\[ \text{Imaginary part} = -2\sqrt{2} \]
Thus, the imaginary part of the simplest form of the complex number \( 9.2 - 3 - \sqrt{-8} \) is \( -2\sqrt{2} \).
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