Problem

Express the radical using the imaginary unit, $i$. Express your answer in simplified form.
\[
\pm \sqrt{-44}= \pm
\]
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Answer

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Answer

\(\boxed{\pm \sqrt{-44} = \pm 6.6332495807108i}\)

Steps

Step 1 :The square root of a negative number can be expressed using the imaginary unit, $i$. The imaginary unit $i$ is defined as $\sqrt{-1}$. Therefore, to express $\sqrt{-44}$ in terms of $i$, we can rewrite it as $\sqrt{44} \cdot \sqrt{-1}$, which simplifies to $\sqrt{44} \cdot i$.

Step 2 :Now that we have the square root of 44, we can express the original expression, $\sqrt{-44}$, as $6.6332495807108i$.

Step 3 :\(\boxed{\pm \sqrt{-44} = \pm 6.6332495807108i}\)

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