The physicist and chemist are playing fast and loose with math, trying to prove that 23 = 77 through some seriously questionable symbol manipulation. The physicist uses the square root of iridium (Ir), while the chemist goes for square root of negative iridium. Neither makes ANY mathematical sense—they're just abusing notation to force an equality.
Meanwhile, the mathematician is having an existential crisis because THAT'S NOT HOW MATH WORKS. This is basically the academic equivalent of watching someone cut pizza with scissors—mathematicians die a little inside when other scientists treat math like it's optional.
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