# Thread: prove √2i = ±(1-i)

1. ## prove √2i = ±(1-i)

sqrt(2i)= ±(1-i)

how to prove it?

2. Originally Posted by stupid_kid
sqrt(2i)= ±(1-i)

how to prove it?
Hint: Square both sides.

Hint2: Use de Moiver's theorem to find all 2nd degree roots of 2i and show they are ±(1-i)