Bot GPT 4-o mini To determine the real part and the imaginary part of the complex number \( 7 - \sqrt{-6}i \), we first simplify the expression.
The term \( \sqrt{-6} \) can be rewritten using the imaginary unit \( i \):
\[ \sqrt{-6} = \sqrt{6}i \]
Therefore, we can rewrite the complex number as:
\[ 7 - \sqrt{-6}i = 7 - \sqrt{6}i \]
Now, we can identify the real part and the imaginary part:
- The real part is \( 7 \).
- The imaginary part is \( -\sqrt{6} \).
Thus, the real part is \( 7 \) and the imaginary part is \( -\sqrt{6} \).
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