Hey /sci/
today in my math class I had a spooky thought I'd like to share.

We all know there are no square roots of negative numbers because every number squared is positive.

But what if we pretended the square root of -1 exists? I mean like saying square root of -1 is X.

I think I might square root every number this way: for example square root of -4 is square root of 4 * square root of -1 = 2X.

Why has nobody thought of this before? Where does my math break down? It feels weird just like dividing by zero or infinity. Our teacher always told us square rooting a negative is not allowed