There is no simple method. If you can write the number as a ratio of two integers, in the form p/q where q>0, then the number is rational. But it is often very difficult to show that such a representation is not possible.
10.01 is a rational number
If its decimal representation is either terminating or a repeating number then it is rational. Otherwise it is irrational.
Rational
It is a rational number.
is 34.54 and irrational or rational. number
it is a rational number but 4.121314..... is an irrational no
Irrational.
Such a product is always irrational - unless the rational number happens to be zero.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
No number is irrational and rational.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
The sum of a rational and irrational number must be an irrational number.