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Which statement is false?
every real number is also rational

1 Answer

10 votes

Answer:

The statement "Every real number is also rational" is FALSE.

Explanation:

Natural numbers, Whole numbers, Rational numbers and Irrational numbers are all real. Imaginary and Complex numbers are not Real (yes, this is an actual math thing.)

So you may have an Irrational number such as pi or sqroot(7) that are Real but not Rational. This proves the statement is FALSE. (counter-example)

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User Marc Karp
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