Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-44)=+-◻

Express as product of square roots: Express ±sqrt(-44) as the product of square roots and sqrt(-1). ±sqrt(-44) = ±sqrt(-1 * 44)Recognize sqrt(-1) as i: Recognize that sqrt(-1) is the imaginary unit i. ±sqrt(-1 * 44) = ±sqrt(-1) * sqrt(44) = ±i * sqrt(44)Simplify sqrt(44): Simplify sqrt(44) by factoring it into sqrt(4 * 11). ±i * sqrt(44) = ±i * sqrt(4 * 11) = ±i * sqrt(4) * sqrt(11)Calculate square root of 4: Calculate the square root of 4, which is 2. ±i * sqrt(4) * sqrt(11) = ±i * 2 * sqrt(11) = ±2i * sqrt(11)Combine terms for final answer: Combine the terms to express the final answer in simplified form. ±2i * sqrt(11) = ±2i√11

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

+-sqrt(-44)=+-◻

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

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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{-44}= \pm \square

Express as product of square roots: Express $\pm\sqrt{-44}$ as the product of square roots and $\sqrt{-1}$ . $\newline$ $\pm\sqrt{-44} = \pm\sqrt{-1 \cdot 44}$
Recognize $\sqrt{-1}$ as $i$ : Recognize that $\sqrt{-1}$ is the imaginary unit $i$ .
$\pm\sqrt{-1 \cdot 44} = \pm\sqrt{-1} \cdot \sqrt{44}$
= $\pm i \cdot \sqrt{44}$
Simplify $\sqrt{44}$ : Simplify $\sqrt{44}$ by factoring it into $\sqrt{4 \times 11}$ . $\newline$ $\pm i \times \sqrt{44} = \pm i \times \sqrt{4 \times 11}$ $\newline$ = $\pm i \times \sqrt{4} \times \sqrt{11}$
Calculate square root of $4$ : Calculate the square root of $4$ , which is $2$ . $\newline$ $\pm i \cdot \sqrt{4} \cdot \sqrt{11} = \pm i \cdot 2 \cdot \sqrt{11}$ $\newline$ $= \pm 2i \cdot \sqrt{11}$
Combine terms for final answer: Combine the terms to express the final answer in simplified form. $\newline$ $\pm 2i \times \sqrt{11} = \pm 2i\sqrt{11}$