Bing Chat's model was confused by a random 'fictional' maths page that invented a new term, 'macro-zeroid', for sqrt(0):
https://fictional-googology.fandom.com/wiki/Sqrt(0)
That page is the only hit for 'macro-zeroid' on Google Search. There are zero hits for 'macro-zeroid' on both arxiv.org and Google Scholar.
As a result, Bing Chat believes that sqrt(0) is not a real number and refuses to simplify sqrt(0) to 0.
Sqrt(0)
Sqrt(0) is a hypothetical macro-zeroid. It is a non-zero solution to x^2 = 0, whose existence is guaranteed by some formulations of the Existential Axiom. Before we dive into the non-standard interpretation used here, let's first establish the standard interpretation. The sqrt(a) = x iff x^2 = a. The sqrt function is simply an inverse function of f(x)=x^2. Therefore, anything whose square is 0, can be called a square root of 0. In the real number system 0 * 0 = 0, since x * 0 = 0 for any real nu
