Quadratic Surd
المؤلف:
Hardy, G. H.
المصدر:
"Quadratic Surds." §13 in A Course of Pure Mathematics, 10th ed. Cambridge, England: Cambridge University Press
الجزء والصفحة:
pp. 20-22
18-10-2020
1135
Quadratic Surd
A number of the form 
, where 
is a positive rational number which is not the square of another rational number is called a pure quadratic surd. A number of the form 
, where 
is rational and 
is a pure quadratic surd is sometimes called a mixed quadratic surd (Hardy 1967, p. 20).
Quadratic surds are sometimes also called quadratic irrationals.
In 1770, Lagrange proved that any quadratic surd has a regular continued fraction which is periodic after some point. This result is known as Lagrange's continued fraction theorem.
REFERENCES:
Hardy, G. H. "Quadratic Surds." §13 in A Course of Pure Mathematics, 10th ed. Cambridge, England: Cambridge University Press, pp. 20-22, 1967.
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