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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