Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-27)=+-

Express as product: Express ±sqrt(-27) as the product of square roots and sqrt(-1). ±sqrt(-27) = ±sqrt(-1 * 27)Recognize imaginary unit: Recognize that sqrt(-1) is the imaginary unit i. ±sqrt(-27) = ±sqrt(-1) * sqrt(27) = ±i * sqrt(27)Simplify radical: Simplify sqrt(27) by factoring out perfect squares. sqrt(27) = sqrt(9 * 3) = sqrt(9) * sqrt(3) = 3 * sqrt(3)Combine with imaginary unit: Combine the imaginary unit with the simplified radical. ±i * sqrt(27) = ±i * 3 * sqrt(3) = ±3i * sqrt(3)

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

+-sqrt(-27)=+-

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-27}= \pm$

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Q. Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-27}= \pm

Express as product: Express $\pm\sqrt{-27}$ as the product of square roots and $\sqrt{-1}$ . $\newline$ $\pm\sqrt{-27} = \pm\sqrt{-1 \times 27}$
Recognize imaginary unit: Recognize that $\sqrt{-1}$ is the imaginary unit $i$ . $\pm\sqrt{-27} = \pm\sqrt{-1} \times \sqrt{27}$ $= \pm i \times \sqrt{27}$
Simplify radical: Simplify $\sqrt{27}$ by factoring out perfect squares. $\sqrt{27} = \sqrt{9 \times 3}$ $= \sqrt{9} \times \sqrt{3}$ $= 3 \times \sqrt{3}$
Combine with imaginary unit: Combine the imaginary unit with the simplified radical. $\newline$ $\pm i \cdot \sqrt{27} = \pm i \cdot 3 \cdot \sqrt{3}$ $\newline$ $= \pm 3i \cdot \sqrt{3}$