Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-81)=+-◻

Express as product of square roots: Express ±sqrt(-81) as the product of square roots and sqrt(-1). ±sqrt(-81) = ±sqrt(-1 * 81)Recognize sqrt(-1) as i: Recognize that sqrt(-1) is the imaginary unit i. ±sqrt(-81) = ±sqrt(-1) * sqrt(81) = ±i * sqrt(81)Simplify sqrt(81): Simplify sqrt(81) since 81 is a perfect square. ±i * sqrt(81) = ±i * 9Combine terms for final answer: Combine the terms to express the final answer. ±i * 9 = ±9i

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

+-sqrt(-81)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-81}= \pm \square$

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Algebra 2

Introduction to complex numbers

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Q. Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-81}= \pm \square

Express as product of square roots: Express $\pm\sqrt{-81}$ as the product of square roots and $\sqrt{-1}$ . $\newline$ $\pm\sqrt{-81} = \pm\sqrt{-1 \times 81}$
Recognize $\sqrt{-1}$ as $i$ : Recognize that $\sqrt{-1}$ is the imaginary unit $i$ . $\pm\sqrt{-81} = \pm\sqrt{-1} \times \sqrt{81}$ $= \pm i \times \sqrt{81}$
Simplify $\sqrt{81}$ : Simplify $\sqrt{81}$ since $81$ is a perfect square. $\pm i \times \sqrt{81} = \pm i \times 9$
Combine terms for final answer: Combine the terms to express the final answer. $\pm i \times 9 = \pm 9i$