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  • The product of any two irrational number is (A)always an irrational number (B)always a rational number (C)always an integer (D)sometimes rational, sometimes irrational

The product of any two irrational number is  

(A)always an irrational number
(B)always a rational number
(C)always an integer
(D)sometimes rational, sometimes irrational

Answers (1)

Answer: [D]

Solution.

Irrational numbers are real numbers which cannot be represented as simple fractions.
Examples: \sqrt{2},\sqrt{3},\pi
The product of two irrational numbers can be rational or irrational depending on the two numbers.
For example, \sqrt{2}\times \sqrt{2}  is 2 which is a rational number
whereas \sqrt{2}\times \sqrt{3} is \sqrt{6} which is an irrational number.
Therefore option (D) is correct.

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