Question

Which of the following statements is true?

Options

•  Product of two irrational numbers is always irrational

• Product of a rational and an irrational number is always irrational

• Sum of two irrational numbers can never be irrational

•  Sum of an integer and a rational number can never be an integer

Answer 1

Since we know that the product of rational and irrational number is always an irrational. For example: Let `1/2,sqrt3` are rational and irrational numbers respectively and their product is `sqrt3/2.`