It is mathematically correct, just that it may not be the expected output
format. SymPy makes (educated) guesses how to represent an expression and
how to print it (not always the same guesses are used for the two cases).

Your expression is represented as (use the srepr function on the
expression):
Mul(Pow(Integer(2), Rational(1, 2)), Pow(pi, Rational(1, 2)))

So the two solutions are to avoid splitting Pow(Mul(..., ...), ...) into
Mul(Pow(..., ...), Pow(..., ...)) or let the printer look for expressions
with the same exponent and print those together.

A work-around, if you really want it to print in that exact way is to
create the expression without automatic evaluation (which splits the
expression) as:
Pow(Mul(Integer(2), pi), Rational(1,2), evaluate=False)

However, personally, I do not recommend this. The purpose of a CAS is to
represent expressions "efficiently", so automatic evaluation is a good
thing (try Add(Integer(1), Integer(-1), evaluate=False) ) in general.

BR Oscar


Den tors 8 aug. 2024 kl 12:20 skrev Rodrigo Koblitz <
[email protected]>:

> Hi everyone,
>
> I'm new to SymPy and I'm probably missing something basic. I'm trying to
> create the probability density function of the normal distribution, but
> I've run into a problem. When I try to create the sqrt(2*pi) part of the
> function, Colab displays it as the square of 2 multiplied by the square of
> pi, instead of the square root of their product.
>
> I would really appreciate it if someone could help me with this.
>
> Thanks!
> init_printing(use_unicode=True)
> result = sqrt(pi*2)
> result
>
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