Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-64)=+-

Express as product: Express ±sqrt(-64) as the product of the square root of -1 and the square root of 64. ±sqrt(-64) = ±sqrt(-1 * 64)Recognize imaginary unit: Recognize that sqrt(-1) is the definition of the imaginary unit i. ±sqrt(-1 * 64) = ±i * sqrt(64)Simplify square root: Simplify the square root of 64, which is a perfect square. ±i * sqrt(64) = ±i * 8Combine for final answer: Combine the ± and i to express the final answer. ±i * 8 = ±8i

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

+-sqrt(-64)=+-

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-64}= \pm$

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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{-64}= \pm

Express as product: Express $\pm\sqrt{-64}$ as the product of the square root of $-1$ and the square root of $64$ . $\newline$ $\pm\sqrt{-64} = \pm\sqrt{-1 \times 64}$
Recognize imaginary unit: Recognize that $\sqrt{-1}$ is the definition of the imaginary unit $i$ . $\pm\sqrt{-1 \times 64} = \pm i \times \sqrt{64}$
Simplify square root: Simplify the square root of $64$ , which is a perfect square. $\pm i \cdot \sqrt{64} = \pm i \cdot 8$
Combine for final answer: Combine the $\pm$ and $i$ to express the final answer. $\pm i \times 8 = \pm 8i$