PS: the following message from the Maxima mailing list (found via a
different sqrt-related report in the Maxima bug tracker) is quite
useful:

https://www.ma.utexas.edu/pipermail/maxima/2011/025213.html

>From that page:

* abs is a mathematical function which has simplification rules.  It
assumes by default that it is operating over the reals, so that for example
abs(sqrt(x)) => sqrt(x) -- because sqrt is treated as a real-to-real
function with domain and range 0..inf.  But if there is an explicitly
complex quantity (%i or a variable declared complex), that assumption is
invalidated, so abs(z^2) => abs(z)^2, where declare(z,complex).

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