Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-25)=+-◻

Recognize imaginary unit i: Recognize that the square root of a negative number involves the imaginary unit i, where i^2 = -1. +-sqrt(-25) can be rewritten as +-sqrt(-1 * 25).Separate square root of product: Separate the square root of the product into the product of square roots. +-sqrt(-1 * 25) = +-sqrt(-1) * sqrt(25).Simplify square roots: Simplify the square roots. Since sqrt(-1) is the imaginary unit i and sqrt(25) is 5, we have: +-sqrt(-1) * sqrt(25) = +-(i * 5).Combine terms for final answer: Combine the terms to express the final answer. +-i * 5 = +-5i.

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

+-sqrt(-25)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-25}= \pm \square$

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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{-25}= \pm \square

Recognize imaginary unit $i$ : Recognize that the square root of a negative number involves the imaginary unit $i$ , where $i^2 = -1$ . $\newline$ $\pm\sqrt{-25}$ can be rewritten as $\pm\sqrt{-1 \cdot 25}$ .
Separate square root of product: Separate the square root of the product into the product of square roots. $\pm\sqrt{-1 \times 25} = \pm\sqrt{-1} \times \sqrt{25}$ .
Simplify square roots: Simplify the square roots. $\newline$ Since $\sqrt{-1}$ is the imaginary unit $i$ and $\sqrt{25}$ is $5$ , we have: $\newline$ $\pm\sqrt{-1} \cdot \sqrt{25} = \pm(i \cdot 5)$ .
Combine terms for final answer: Combine the terms to express the final answer. $\pm i \times 5 = \pm 5i$ .