Write sqrt(-20) in simplest radical form. Answer:

Express as product: Express sqrt(-20) as the product of square roots and sqrt(-1). sqrt(-20) = sqrt(-1 * 20)Recognize imaginary unit: Recognize that sqrt(-1) is the imaginary unit i. sqrt(-20) = sqrt(-1) * sqrt(20) = i * sqrt(20)Simplify radical: Simplify sqrt(20) by factoring out the perfect square. sqrt(20) = sqrt(4 * 5) = sqrt(4) * sqrt(5) = 2 * sqrt(5)Combine imaginary unit: Combine the imaginary unit with the simplified radical. i * sqrt(20) = i * 2 * sqrt(5) = 2i * sqrt(5)

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Write
sqrt(-20) in simplest radical form.
Answer:

Write $\sqrt{-20}$ in simplest radical form. $\newline$ Answer:

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Math Problems

Algebra 2

Introduction to complex numbers

Full solution

Q. Write

\sqrt{-20}

in simplest radical form.

\newline

Answer:

Express as product: Express $\sqrt{-20}$ as the product of square roots and $\sqrt{-1}$ . $\newline$ $\sqrt{-20} = \sqrt{-1 \times 20}$
Recognize imaginary unit: Recognize that $\sqrt{-1}$ is the imaginary unit $i$ . $\sqrt{-20} = \sqrt{-1} \times \sqrt{20}$ $= i \times \sqrt{20}$
Simplify radical: Simplify $\sqrt{20}$ by factoring out the perfect square. $\newline$ $\sqrt{20} = \sqrt{4 \times 5}$ $\newline$ $= \sqrt{4} \times \sqrt{5}$ $\newline$ $= 2 \times \sqrt{5}$
Combine imaginary unit: Combine the imaginary unit with the simplified radical. $\newline$ $i \cdot \sqrt{20} = i \cdot 2 \cdot \sqrt{5}$ $\newline$ $= 2i \cdot \sqrt{5}$