To simplify the expression \( 9.2 - 3 - 8^{1/2} \), we first consider the square root of \(-8\).
The square root of \(-8\) can be expressed using imaginary numbers:
\[ \sqrt{-8} = \sqrt{8} \cdot \sqrt{-1} = \sqrt{8}i = 2\sqrt{2}i \]
Now, we can rewrite the expression \( 9.2 - 3 - \sqrt{-8} \):
\[ 9.2 - 3 - 2\sqrt{2}i \]
Next, we combine the real parts:
\[ 9.2 - 3 = 6.2 \]
Now we can write the expression in its simplest form:
\[ 6.2 - 2\sqrt{2}i \]
In this expression, the real part is \( 6.2 \) and the imaginary part is \( -2\sqrt{2} \).
So the imaginary part is:
\[ \boxed{-2\sqrt{2}} \]
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