I've tried and tried and I cannot find the error in the reasoning below. It's probably something simple and I'll feel like an idiot when someone explains it.(adsbygoogle = window.adsbygoogle || []).push({});

i = i

sqrt(-1) = sqrt(-1)

sqrt(1/-1) = sqrt (-1/1)

sqrt(1)/sqrt(-1) = sqrt(-1)/sqrt(1)

sqrt(1) * sqrt(1) = sqrt(-1) * sqrt(-1)

[sqrt(1)]^2 = [sqrt(-1)]^2

1 = -1

Does it have something to do with sqrt(-1/1) = sqrt(-1)/sqrt(1)? Does complex numbers not obey this property?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# 1 = -1 where is the error

**Physics Forums | Science Articles, Homework Help, Discussion**