Rational
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If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
If it ends there, it is rational. If it continues with the same digit (2 in this case) over and over, it is also rational.
No. sqrt(2)/pi is not rational.
It is rational