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Prove that statement by contradiction me...

Prove that statement by contradiction method. The sum of an irrational and a rational number is irrational.

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Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

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