Rational numbers can be expressed as the ratio of two integers, while irrational numbers, such as square roots of non-square numbers, cannot.

Every number is either rational or irrational, whether large or small, negative or positive.

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational ...

As the video demonstrates, this is because the golden ratio is a highly irrational number, meaning it is not very well approximated by any whole number or even any fraction of whole numbers.

The Golden Ratio is not only an irrational number, it appears to be the most irrational of all possible numbers. Other irrational numbers are fairly close to some small rational number.

The existence of irrational numbers is best explained with an isosceles right triangle—that is, a triangle with two sides of an equal length that form a right angle.

Math fans, celebrate. Today is Pi Day, a holiday that celebrates the world’s most famous irrational number. What are irrational numbers, you ask? As Penn State Berks professor Joni Queen desc… ...