A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of Irrational Numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers!
A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.
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e^pi ~ 23.14069.............., not rational
If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.
Yes, it does. If Pi/2 were rational, it could be written as p/q, and then Pi could be written as 2p/q and would be rational as well.
No two numbers that can be completely written down with digits can be added, subtracted, multiplied, or divided to equal PI. If they could be divided to equal PI, then PI would be a rational number. But it isn't.
Pi is not rational it is irrational because it does not stop or repeat