Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-30)=+-

Recognize the involvement of imaginary unit i: Recognize that the square root of a negative number involves the imaginary unit i, where i^2 = -1. ±sqrt(-30) can be expressed as ±sqrt(-1 * 30).Separate the square root of the product: Separate the square root of the product into the product of square roots. ±sqrt(-1 * 30) = ±sqrt(-1) * sqrt(30).Replace sqrt(-1) with i: Replace sqrt(-1) with i to express the square root of -1 as an imaginary number. ±sqrt(-1) * sqrt(30) = ±i * sqrt(30).No further simplification of sqrt(30): Since there is no further simplification of sqrt(30), the expression is already in its simplest form. So, the final expression is ±i * sqrt(30).

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

+-sqrt(-30)=+-

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-30}= \pm$

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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{-30}= \pm

Recognize the involvement of imaginary unit $i$ : Recognize that the square root of a negative number involves the imaginary unit $i$ , where $i^2 = -1$ .
$\pm\sqrt{-30}$ can be expressed as $\pm\sqrt{-1 \cdot 30}$ .
Separate the square root of the product: Separate the square root of the product into the product of square roots. $\pm\sqrt{-1 \times 30} = \pm\sqrt{-1} \times \sqrt{30}$ .
Replace $\sqrt{-1}$ with $i$ : Replace $\sqrt{-1}$ with $i$ to express the square root of $-1$ as an imaginary number. $\newline$ $\pm\sqrt{-1} \times \sqrt{30} = \pm i \times \sqrt{30}$ .
No further simplification of $\sqrt{30}$ : Since there is no further simplification of $\sqrt{30}$ , the expression is already in its simplest form. $\newline$ So, the final expression is $\pm i \cdot \sqrt{30}$ .