Question

question
write \\(\sqrt{-200}\\) in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Separate negative with imaginary unit

$\sqrt{-200} = \sqrt{-1 \times 200} = \sqrt{-1} \times \sqrt{200}$

Step2: Simplify $\sqrt{200}$ to radical form

$\sqrt{200} = \sqrt{100 \times 2} = \sqrt{100} \times \sqrt{2} = 10\sqrt{2}$

Step3: Substitute $\sqrt{-1}=i$

$\sqrt{-1} \times 10\sqrt{2} = 10i\sqrt{2}$

Answer:

$10i\sqrt{2}$