Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-16)=+-◻

Express ±sqrt(-16): Express ±sqrt(-16) as the product of the square root of -1 and the square root of 16. ±sqrt(-16) = ±sqrt(-1 * 16)Recognize sqrt(-1) as i: Recognize that sqrt(-1) is the definition of the imaginary unit i. ±sqrt(-16) = ±sqrt(-1) * sqrt(16) = ±i * sqrt(16)Simplify sqrt(16): Simplify sqrt(16) which is a perfect square. ±i * sqrt(16) = ±i * 4Combine terms for final answer: Combine the terms to express the final answer. ±i * 4 = ±4i

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

+-sqrt(-16)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-16}= \pm \square$

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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{-16}= \pm \square

Express $\pm\sqrt{-16}$ : Express $\pm\sqrt{-16}$ as the product of the square root of $-1$ and the square root of $16$ .
$\pm\sqrt{-16} = \pm\sqrt{-1 \times 16}$
Recognize $\sqrt{-1}$ as $i$ : Recognize that $\sqrt{-1}$ is the definition of the imaginary unit $i$ .
$\pm\sqrt{-16} = \pm\sqrt{-1} \times \sqrt{16}$
= $\pm i \times \sqrt{16}$
Simplify $\sqrt{16}$ : Simplify $\sqrt{16}$ which is a perfect square. $\pm i \times \sqrt{16} = \pm i \times 4$
Combine terms for final answer: Combine the terms to express the final answer. $\pm i \times 4 = \pm 4i$