Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals.
\[
-9-\sqrt{-37}
\]
Answer
Final Answer: The expression \(-9-\sqrt{-37}\) can be rewritten as a complex number as \(\boxed{-9 - 6.082762530298219i}\).
Step 1 ：The given expression is \(-9-\sqrt{-37}\).
Step 2 ：The expression contains a square root of a negative number, which is an imaginary number. The square root of -1 is represented by the imaginary unit $i$.
Step 3 ：So, we can rewrite \(\sqrt{-37}\) as \(\sqrt{37}i\).
Step 4 ：The expression then becomes \(-9 - \sqrt{37}i\).
Step 5 ：Calculating the square root of 37 gives approximately 6.082762530298219.
Step 6 ：So, the expression simplifies to \(-9 - 6.082762530298219i\).
Step 7 ：Final Answer: The expression \(-9-\sqrt{-37}\) can be rewritten as a complex number as \(\boxed{-9 - 6.082762530298219i}\).
