Question

Prove that two by three is irrational

Answer 1

$\frac{2}{3} = 0.6666666666666666666666666666666666...........$
infinite times
so
According to the definition of irrational number i.e When a fractional number in its decimal form is in non terminating, repeating form, it is called as irrational number.
Since 0.66666666666666 is on terminating and repeating it is irrational number
and 0.6666666666 = 2/3
so 2/3 is irrational number