Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-55)=+-◻

Express as product: Express ±sqrt(-55) as the product of square roots and sqrt(-1). ±sqrt(-55) = ±sqrt(-1 * 55)Use complex number: Express ±sqrt(-1 * 55) as a complex number by using i. ±sqrt(-55) = ±sqrt(-1) * sqrt(55)Replace sqrt(-1): Replace sqrt(-1) with i to get the expression in terms of the imaginary unit. ±sqrt(-55) = ±i * sqrt(55)Two possible values: Since there is a ± sign, we have two possible values: +i * sqrt(55) and -i * sqrt(55).Simplify final answer: Simplify the expression by writing the final answer with the imaginary unit i. ±sqrt(-55) = ±i * sqrt(55) = ±i√55

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

+-sqrt(-55)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-55}= \pm \square$

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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{-55}= \pm \square

Express as product: Express $\pm\sqrt{-55}$ as the product of square roots and $\sqrt{-1}$ . $\newline$ $\pm\sqrt{-55} = \pm\sqrt{-1 \times 55}$
Use complex number: Express $\pm\sqrt{-1 \times 55}$ as a complex number by using $i$ . $\newline$ $\pm\sqrt{-55} = \pm\sqrt{-1} \times \sqrt{55}$
Replace $\sqrt{-1}$ : Replace $\sqrt{-1}$ with $i$ to get the expression in terms of the imaginary unit. $\newline$ $\pm\sqrt{-55} = \pm i \cdot \sqrt{55}$
Two possible values: Since there is a $\pm$ sign, we have two possible values: $+i \sqrt{55}$ and $-i \sqrt{55}$ .
Simplify final answer: Simplify the expression by writing the final answer with the imaginary unit $i$ . $\pm\sqrt{-55} = \pm i \cdot \sqrt{55} = \pm i\sqrt{55}$