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NooneAtAll3
1 day ago
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Why Mathematica does not simplify sinh(arccosh(x))
for arbitrary complex values sqrt() gives 2 answers with +- signs
so sqrt(square(-i)) = +-i, one of which is x
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syockit
1 day ago
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I've never seen a CAS that gives two answers for sqrt. Mathematica doesn't, sympy doesn't, and IIRC Maxima also doesn't.
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Armisael16
1 day ago
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The sqrt function returns the principle square root, not both. That’s true for all numbers, positive, negative, and complex alike.
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so sqrt(square(-i)) = +-i, one of which is x