Sentence examples for irrational numbers from inspiring English sources

A frequently cited factor is the discovery of irrational numbers.

The real numbers consist of rational and irrational numbers.

Irrational numbers can be expressed as continued fractions - basically an infinite series of ever-diminishing terms.

"The golden ratio is arguably the most irrational of all irrational numbers," says Livio.

Various other series for pi, which use irrational numbers, have also been found, and they converge on pi faster than the Chudnovsky formula, but in practice they run more slowly on a computer, because irrational numbers are harder to compute.

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There are two solutions, √2 and -√2, called irrational numbers because they cannot be written as a ratio of integers.

It also belongs to a category of numbers called irrational numbers — numbers, that is, that can't be expressed as fractions.

These experiences led Dedekind to see the need for a redefinition of irrational numbers in terms of arithmetic properties.

It thus became necessary, early in the history of mathematics, to extend the concept of number to include irrational numbers.

Irrational numbers are ones that cannot be expressed as the ratio of two whole numbers - for instance, 5/2.