Write sqrt(-250) in simplest radical form. Answer:

Express as product of square roots: Express sqrt(-250) as the product of square roots and sqrt(-1). sqrt(-250) = sqrt(-1 * 250) = sqrt(-1) * sqrt(250)Recognize imaginary unit: Recognize that sqrt(-1) is the imaginary unit i. sqrt(-250) = sqrt(-1) * sqrt(250) = i * sqrt(250)Simplify by factoring perfect squares: Simplify sqrt(250) by factoring out perfect squares. sqrt(250) = sqrt(25 * 10) = sqrt(25) * sqrt(10) = 5 * sqrt(10)Combine with simplified radical: Combine the imaginary unit i with the simplified radical. i * sqrt(250) = i * 5 * sqrt(10) = 5i * sqrt(10)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write
sqrt(-250) in simplest radical form.
Answer:

Write $\sqrt{-250}$ in simplest radical form. $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Introduction to complex numbers

Full solution

Q. Write

\sqrt{-250}

in simplest radical form.

\newline

Answer:

Express as product of square roots: Express $\sqrt{-250}$ as the product of square roots and $\sqrt{-1}$ . $\sqrt{-250} = \sqrt{-1 \times 250} = \sqrt{-1} \times \sqrt{250}$
Recognize imaginary unit: Recognize that $\sqrt{-1}$ is the imaginary unit $i$ . $\sqrt{-250}$ = $\sqrt{-1}$ * $\sqrt{250}$ = $i$ * $\sqrt{250}$
Simplify by factoring perfect squares: Simplify $\sqrt{250}$ by factoring out perfect squares. $\newline$ $\sqrt{250}$ $\newline$ = $\sqrt{25 \times 10}$ $\newline$ = $\sqrt{25}$ $\times$ $\sqrt{10}$ $\newline$ = $5 \times \sqrt{10}$
Combine with simplified radical: Combine the imaginary unit $i$ with the simplified radical. $i \cdot \sqrt{250}$ $= i \cdot 5 \cdot \sqrt{10}$ $= 5i \cdot \sqrt{10}$