Questions: Question 1 Express the number in terms of i. -√(-144) -12 i 12 i 12

Question 1 Express the number in terms of i. -√(-144) -12 i 12 i 12
Transcript text: Question 1 Express the number in terms of $i$. \[ -\sqrt{-144} \] $-12 i$ $12 i$ 12
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Solution

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Solution Steps

To express the given number in terms of \(i\), we need to recognize that \(\sqrt{-1} = i\). Therefore, \(\sqrt{-144}\) can be rewritten using \(i\).

Step 1: Recognize the Complex Number

To express \(-\sqrt{-144}\) in terms of \(i\), we first need to recognize that \(\sqrt{-1} = i\). Therefore, we can rewrite \(\sqrt{-144}\) using \(i\).

Step 2: Simplify the Expression

We know that: \[ \sqrt{-144} = \sqrt{144 \cdot (-1)} = \sqrt{144} \cdot \sqrt{-1} = 12i \]

Step 3: Apply the Negative Sign

Given the expression \(-\sqrt{-144}\), we apply the negative sign to the simplified form: \[ -\sqrt{-144} = -12i \]

Final Answer

The correct expression in terms of \(i\) is: \[ \boxed{-12i} \]

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