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Why does Mathematica fail to simplify a simple expression involving principal square roots?

I expect Mathematica 13.1 to evaluate the following expression to True, but it fails to do that: FullSimplify[(Sqrt[1 + a^2] == Sqrt[1 + b^2]) == (Sqrt[1 + a^2]/Sqrt[1 + b^2] == 1), Element[a | b, Rea …
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1 vote

Why does Mathematica fail to simplify a simple expression involving principal square roots?

I found a workaround of adding ExcludedForms -> Sqrt[_] option to FullSimplify and then performing another simplification: FullSimplify[(Sqrt[1 + a^2] == Sqrt[1 + b^2]) == (Sqrt[1 + a^2]/Sqrt[1 + b^2] …
dened's user avatar
  • 121