Question

Simplify the number using the imaginary unit i.
sqrt[–16]

Answer 1

\[i^2 = -1\]
\[-1 = i^2 = \sqrt{-1}\sqrt{-1} = \sqrt{(-1)(-1)} = \sqrt{1} = 1\]
\(i = \sqrt{-1}\)

Are you able to continue from there?

Answer 2

\(\sqrt{-16}\)
\(\sqrt{16*(-1)} \)
\(\sqrt{16} * \sqrt{-1} \)
\((+/-) 4 * (+/-) i \)
\((+/-) 4i \)

@Apprentice am i right

Answer 3

Yes, you are correct :-).