Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-49)=+-◻

Express ±sqrt(-49) as the product: Express ±sqrt(-49) as the product of square roots and sqrt(-1). ±sqrt(-49) = ±sqrt(-1 * 49)Express ±sqrt(-1 * 49) as a complex number: Express ±sqrt(-1 * 49) as a complex number by using i. ±sqrt(-49) = ±sqrt(-1) * sqrt(49)Simplify the expression by evaluating: Simplify the expression by evaluating the square root of 49 and replacing sqrt(-1) with i. ±sqrt(-49) = ±i * sqrt(49) = ±i * 7The expression simplifies to ±7i: Since the square root of 49 is 7, and the square root of -1 is i, the expression simplifies to ±7i. ±sqrt(-49) = ±7i

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

+-sqrt(-49)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-49}= \pm \square$

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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{-49}= \pm \square

Express $\pm\sqrt{-49}$ as the product: Express $\pm\sqrt{-49}$ as the product of square roots and $\sqrt{-1}$ . $\pm\sqrt{-49} = \pm\sqrt{-1 \times 49}$
Express $\pm\sqrt{-1 \times 49}$ as a complex number: Express $\pm\sqrt{-1 \times 49}$ as a complex number by using $i$ .
$\pm\sqrt{-49} = \pm\sqrt{-1} \times \sqrt{49}$
Simplify the expression by evaluating: Simplify the expression by evaluating the square root of $49$ and replacing $\sqrt{-1}$ with $i$ . $\newline$ $\pm\sqrt{-49} = \pm i \cdot \sqrt{49} = \pm i \cdot 7$
The expression simplifies to $\pm 7i$ : Since the square root of $49$ is $7$ , and the square root of $-1$ is $i$ , the expression simplifies to $\pm 7i$ . $\newline$ $\pm\sqrt{-49} = \pm 7i$