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simplification with exponents #174

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ribrdb opened this issue Dec 18, 2023 · 1 comment

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ribrdb commented Dec 18, 2023

I would expect these to simplify to zero:

simplify(sqrt(2x)-(sqrt(2)*x^(1/2)))
(2*x)^(1/2)-2^(1/2)*x^(1/2)

simplify(sqrt(2e)-(sqrt(2)*e^(1/2)))
(2*e)^(1/2)-2^(1/2)*exp(1/2)

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soegaard commented Dec 18, 2023

I would expect these to simplify to zero:
simplify(sqrt(2x)-(sqrt(2)*x^(1/2)))

I agree.

The rule sqrt(xy)=sqrt(x)sqrt(y) can't be used in general, when x and y are complex.
But here, we know that x is a positive, real number.

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