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NUMBER SYSTEM 2Statement A: The sum of a rational and an irrational is an irrationalStatement B. The sum of two irrational numbers is always an irrationalBoth A and B are trueb) Both A and B are talC) Ais true and B is falsed) A is false and B is in​

Answer»

Option 'A' is wrong as there is no REAL number which is both RATIONAL and irrationalOption 'B' is wrong Take 2 irrational number 2+ 3 ,2− 3 and sum will be 4 which is a rational number ∴ Option 'B' is wrong Option 'C' is also wrong Take x=−2 and y=−1⇒xy 2 Option 'D' is correct as every integer can be written as rational numbers ∴Options 'A', 'B', 'C' are wrong



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