why is \pi an irrational number?

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

\(\pi\) is an irrational number because it cannot be expressed as the ratio of two integers. It is a transcendental number, which means it is not the root of any non-zero polynomial equation with integer coefficients. This makes it impossible to represent \(\pi\) as a finite or repeating decimal. Instead, its decimal representation goes on forever without repeating a pattern.

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