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Real numbers

There are numbers that are not rational. These are called irrational numbers.

$$\sqrt{2}$$, the number whose square is $$2$$, is an irrational number.

Another irrational number is $$\pi$$, which is the area of a circle with radius $$1$$.

The collection of numbers that combines all the rational and irrational numbers is called the real numbers. The set of the real numbers is written as $$\mathbb{R}$$.

The set of the real numbers contains the rational numbers, the integers and the positive integers.
The set of the real numbers contains the rational numbers, the integers and the positive integers.