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Question

Which of the following is a true statement?

A
The sum of two irrational numbers is an irrational number
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B
The product of two irrational numbers is an irrational number
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C
Every real number is always rational
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D
Every real number is either rational or irrational
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Solution

The correct option is D Every real number is either rational or irrational
Take 2 irrational numbers, 3, (3). Their sum will be equal to 0 which is a rational number. Hence the sum of 2 irrational numbers is not always an irrational number.
The product of 32×2=6, which is a rational number.
Every real number can be said to be a rational number but not the converse.
Both rational and irrational numbers fall in the category of real numbers.

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