2*Pi is an even irrational number.
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Yes, irrational numbers are neither odd nor even.
Irrational numbers are infinitely dense so that there are infinitely many irrational numbers between any to numbers. In fact, there are more irrational numbers between any two numbers than there are rational numbers in total!
Any rational or irrational is real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
No.