![]() (viii) The product of two irrational numbers is not always an irrational number. (vii) The sum of two irrational numbers is not always an irrational number. (vi) The product of a non-zero rational number with an irrational number is always an irrational number. (v) The sum of a rational number with an irrational number is always irrational. (iv) Negative of an irrational number is an irrational number. (iii) If a and b are two real numbers, then either ![]() (ii) Rational number and irrational number taken together form the set of real numbers. (i) A number is irrational if and only if its decimal representation is non-terminating and non-repeating.
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