Question

\[\sqrt{-4} = 2i\]
How is this?
i = \(\sqrt{-1}\)

Answer 1

That's just how it's defined

Answer 2

Why does \(\sqrt{4}=2i\)?
I don't see how they are equal if 'i' represent sqrt{-1}...

Answer 3

because of the properties of square roots.
\[\sqrt-4=\sqrt4*\sqrt-1\]

Answer 4

Thank you!

Answer 5

No problem