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Identities for irrational numbers

The product o...

Question

The product of two irrational numbers is always an irrational number.

A

True

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B

False

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Q. Which of the following statements is true?
(a) Product of two irrational numbers is always irrational
(b) Product of a rational and an irrational number is always irrational
(c) Sum of two irrational numbers can never be irrational
(d) Sum of an integer and a rational number can never be an integer

The product of two irrational numbers is

(a) always irrational

(b) always rational

(c) always an integer

(d) sometimes rational and sometimes irrational

Q. Which one of the following statements is true?
(a) The sum of two irrational numbers is always an irrational number
(b) The sum of two irrational numbers is always a rational number
(c) The sum of two irrational numbers may be a rational number or an irrational number
(d) The sum of two irrational numbers is always an integer

Which of the following is a true statement ?

(a) The sum of two irrational numbers is an irrational number.

(b) The product of two irrational numbers is an irrational number.

(c) Every real number is always rational.

(d) Every real number is either rational or irrational.

Q. The product of two irrational numbers is always an irrational number.

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