RATIONAL , because you can convert it to a RATION (FRACTION).
Method
Let P = 0.272727....
Then
100P = 27.272727....
Subtract
99P = 27 (Note the decimals to infinity subtract to zero.
P = 27/99
Cancel down by '9'
P = 3/11 ( Which is a RATIO/rational).
Since both '3' & '11' are prime numbers this will not cancel down any further.
Hence 3/11 = 0.272727....
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Rational
No
If x is rational the it is rational. If x is irrational then it is irrational.
They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]