A number is irrational if and only if its decimal representation is non-terminating and non-repeating. e.g.[latex]\sqrt{2},\sqrt{3},\Pi \[/latex]................ etc.
Rational number and irrational number taken together form the set of real numbers.
If a and b are two real numbers, then either
(i) a > b or (ii) a = b or (iii) a < b
Negative of an irrational number is an irrational number.
The sum of a rational number with an irrational number is always irrational.
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