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Pi belongs to the sets of real numbers, transcendental numbers and irrational numbers.
Pi, and the square root of pi, belong to a category known as transcendental numbers, which means that not only do they have an infinite decimal expansion (the numbers following the decimal go on forever) but the decimal expansion follows no pattern and is unpredictable. Irrational numbers also have an infinite decimal expansion, but not necessarily an unpredictable one.
No they are not. The numbers Pi and e are irrational and are not radicals. There are many others.
pi, in the mathematical term.
Irrational numbers.