Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-66)=+-◻

Express as product of square roots: Express ±sqrt(-66) as the product of square roots and sqrt(-1). ±sqrt(-66) = ±sqrt(-1 * 66)Recognize imaginary unit: Recognize that sqrt(-1) is the imaginary unit i. ±sqrt(-66) = ±sqrt(-1) * sqrt(66) = ±i * sqrt(66)Simplify square root of 66: Simplify the square root of 66 if possible. Since 66 is not a perfect square and does not have factors that are perfect squares other than 1, we leave it as sqrt(66). ±i * sqrt(66) = ±i * sqrt(66)Combine imaginary unit with radical: Combine the imaginary unit with the radical to express the final answer. The expression ±sqrt(-66) can be written as ±i * sqrt(66).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

+-sqrt(-66)=+-◻

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-66}= \pm \square$

View step-by-step help

Home

Math Problems

Algebra 2

Introduction to complex numbers

Full solution

Q. Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-66}= \pm \square

Express as product of square roots: Express $\pm\sqrt{-66}$ as the product of square roots and $\sqrt{-1}$ . $\newline$ $\pm\sqrt{-66} = \pm\sqrt{-1 \cdot 66}$
Recognize imaginary unit: Recognize that $\sqrt{-1}$ is the imaginary unit $i$ . $\pm\sqrt{-66} = \pm\sqrt{-1} \cdot \sqrt{66}$ $= \pm i \cdot \sqrt{66}$
Simplify square root of $66$ : Simplify the square root of $66$ if possible. Since $66$ is not a perfect square and does not have factors that are perfect squares other than $1$ , we leave it as $\sqrt{66}$ . $\newline$ $\pm i \cdot \sqrt{66} = \pm i \cdot \sqrt{66}$
Combine imaginary unit with radical: Combine the imaginary unit with the radical to express the final answer. $\newline$ The expression $\pm\sqrt{-66}$ can be written as $\pm i \cdot \sqrt{66}$ .