Ferdinand von Lindemann, in 1882
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no it is not. See Lindemann, 1882, that pi is transcendental.
Pi (approximately 3.14) is not an imaginary, but it is irrational and transcendental.
No. Pi is a special kind of irrational number called a transcendental number. This means that no power of pi (other than 0), or any combinations of its powers is rational.
Yes. (But the correct descriptive term is "transcendental".)
He proved that e, the base of natural logarithms is transcendental. From this, it follows that pi is also transcendental.