By definition, the two sets do not overlap. This is because the irrationals are defined as the set of real numbers that are not members of the rationals.
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No. If it was a rational number, then it wouldn't be an irrational number.
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
No, they are two separate groups of numbers. A number is either rational or irrational, never both.
15 is both rational, and an integer. is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.