Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-18)=+-◻

Express as product of square roots: Express ±sqrt(-18) as the product of square roots and sqrt(-1). ±sqrt(-18) = ±sqrt(-1 * 18)Recognize imaginary unit: Recognize that sqrt(-1) is the imaginary unit i. ±sqrt(-18) = ±sqrt(-1) * sqrt(18) = ±i * sqrt(18)Simplify sqrt(18): Simplify sqrt(18) by factoring it into sqrt(9 * 2). ±sqrt(18) = ±sqrt(9) * sqrt(2) = ±3 * sqrt(2)Combine with imaginary unit: Combine the simplified square root with the imaginary unit i. ±i * sqrt(18) = ±i * 3 * sqrt(2) = ±3i * sqrt(2)Write final simplified expression: Write the final simplified expression. ±3i * sqrt(2) is the simplified form of ±sqrt(-18) using the imaginary unit i.

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Express the radical using the imaginary unit,
i.
Express your answer in simplified form.

+-sqrt(-18)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-18}= \pm \square$

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Q. Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-18}= \pm \square

Express as product of square roots: Express $\pm\sqrt{-18}$ as the product of square roots and $\sqrt{-1}$ . $\pm\sqrt{-18} = \pm\sqrt{-1 \times 18}$
Recognize imaginary unit: Recognize that $\sqrt{-1}$ is the imaginary unit $i$ . $\pm\sqrt{-18} = \pm\sqrt{-1} \times \sqrt{18}$ $= \pm i \times \sqrt{18}$
Simplify $\sqrt{18}$ : Simplify $\sqrt{18}$ by factoring it into $\sqrt{9 \times 2}$ . $\pm\sqrt{18} = \pm\sqrt{9} \times \sqrt{2}$ = $\pm3 \times \sqrt{2}$
Combine with imaginary unit: Combine the simplified square root with the imaginary unit $i$ . $\pm i \times \sqrt{18} = \pm i \times 3 \times \sqrt{2}$ $= \pm 3i \times \sqrt{2}$
Write final simplified expression: Write the final simplified expression. $\pm 3i \times \sqrt{2}$ is the simplified form of $\pm\sqrt{-18}$ using the imaginary unit $i$ .