They cannot be expressed as a fraction a/b, where a and b are integers (with b non-zero).
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You cannot. Factors are a characteristic of whole numbers.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
All irrational numbers are not rational.
There are an infinite number of irrational numbers.