To compute \( 147 - \sqrt{-57} \), we first need to handle the term \( \sqrt{-57} \).
The square root of a negative number can be expressed using imaginary numbers. Specifically, we can write:
\[ \sqrt{-57} = \sqrt{57} \cdot i \]
where \( i \) is the imaginary unit defined by \( i^2 = -1 \).
Now we can rewrite the expression:
\[ 147 - \sqrt{-57} = 147 - \sqrt{57} \cdot i \]
So the result can be expressed as:
\[ 147 - \sqrt{57} i \]
This means the difference of \( 147 - \sqrt{-57} \) results in the complex number \( 147 - \sqrt{57} i \).
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