Actually there are more Irrational Numbers than rational numbers.
Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number.
The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.
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Yes it is, but not every real number is a rational number
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Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. Not all real numbers are rational.
The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.