To express \(-\sqrt{18}\) as a complex number, we can start by rewriting it using the imaginary unit \(i\), where \(i = \sqrt{-1}\).
Given:
\[ -\sqrt{18} = -\sqrt{9 \cdot 2} = -\sqrt{9} \cdot \sqrt{2} = -3\sqrt{2} \]
To express this in terms of \(i\), we can write:
\[ -\sqrt{18} = 0 - 3\sqrt{2} = 0 + (-3\sqrt{2})i \]
Thus, \(-\sqrt{18}\) can be expressed as:
\[ 0 - 3\sqrt{2} i \]
Therefore, the complex number representation is:
\[ 0 - 3\sqrt{2} i \]
or simply:
\[ -3\sqrt{2} i \]
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