Write sqrt(-90) in simplest radical form. Answer:

Express as product: Express sqrt(-90) as the product of square roots and sqrt(-1). sqrt(-90) = sqrt(-1 * 90) = sqrt(-1) * sqrt(90)Use imaginary unit: Express sqrt(-1) as the imaginary unit i. sqrt(-1) = iSimplify by factoring: Simplify sqrt(90) by factoring out perfect squares. sqrt(90) = sqrt(9 * 10) = sqrt(9) * sqrt(10) = 3 * sqrt(10)Combine for complex number: Combine the results to express sqrt(-90) as a complex number. sqrt(-90) = i * 3 * sqrt(10) = 3i * sqrt(10) = 3i sqrt(10)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write
sqrt(-90) in simplest radical form.
Answer:

Write $\sqrt{-90}$ 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{-90}

in simplest radical form.

\newline

Answer:

Express as product: Express $\sqrt{-90}$ as the product of square roots and $\sqrt{-1}$ . $\sqrt{-90} = \sqrt{-1 \times 90} = \sqrt{-1} \times \sqrt{90}$
Use imaginary unit: Express $\sqrt{-1}$ as the imaginary unit $i$ . $\newline$ $\sqrt{-1} = i$
Simplify by factoring: Simplify $\sqrt{90}$ by factoring out perfect squares. $\sqrt{90}$ = $\sqrt{9 \times 10}$ = $\sqrt{9}$ $\times$ $\sqrt{10}$ = $3 \times \sqrt{10}$
Combine for complex number: Combine the results to express $\sqrt{-90}$ as a complex number. $\sqrt{-90} = i \times 3 \times \sqrt{10} = 3i \times \sqrt{10} = 3i \sqrt{10}$