Question

Does anyone know some equivalent forms of x squared?

Answer 1

x^2 = sqrt{x^4} = x*x = x^3/x

Answer 2

\(x^2\neq\sqrt{x^4}\), a counter example is \(i^2=-1≠\sqrt{i^4}=\sqrt{1}=1\)

Answer 3

But it works as long as \(x\) is real.

Answer 4

Then also \(x^2=|x|^2=|x^2|\).