Question
Write in terms of \( i \). Simplify your answer as much as possible. \( -\sqrt{-144} \)
Ask by Ingram Stephens. in the United States
Jan 17,2025
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Tutor-Verified Answer
Answer
\(-12i\)
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Bonus Knowledge
To simplify \(-\sqrt{-144}\), we first recognize that \(-144\) can be rewritten using the imaginary unit \(i\), where \(i = \sqrt{-1}\). Therefore, we have: \[ -\sqrt{-144} = -\sqrt{144} \cdot \sqrt{-1} = -\sqrt{144} \cdot i \] Knowing that \(\sqrt{144} = 12\), we can substitute this back into the equation: \[ -\sqrt{-144} = -12i \] So, the simplified answer is \(-12i\).