√2 = 1.4142135.........
π = 3.151912653.....
Neither of these numbers can be written as a fraction of any kind, so cannot be a ratio, therefore are not rational. ■
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All rational numbers are examples of numbers which are both rational and real.
The rational numbers, since it is a proper subset of the real numbers.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.
Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.