If you want to sing about irrational numbers, you can sing about pi. Or if you like higher math, try the song at the link.
the first verse goes:
Oh, Calculus, Oh, Calculus,
How tough are both your branches.
Oh, Calculus, Oh, Calculus,
To pass, what are my chances?
Derivatives I cannot take,
At integrals my fingers shake.
Oh, Calculus, Oh, Calculus,
How tough are both your branches.
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