Questions: 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

Solution

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: \[ -\sqrt{-144} = -12i \]

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

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