The square root of a positive integer is an irrational number unless the positive integer is a perfect square, in which case the square root will also be a positive integer.
A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
Irrational-number Sentence Examples
We therefore take a third step, and obtain theoretical continuity by considering that every point on the line, if it does not represent a rational number, represents something which may be called an irrational number.
In mathematical terminology, 1.62 is an irrational number because its properties don't conform to rational number expectations.
An example of an irrational number in mathematics, the Golden Ratio is a constant that represents a ratio of two quantities and how they relate to one another.