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square root of 2
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(Definition)
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The square root of 2 is an irrational number, the first to have been proved irrational. Its decimal expansion begins 1.41421356237309504880168872420969807856... (sequence A002194 in Sloane's OEIS) Its simple continued fraction is
periodically repeating the 2. Some call this number Pythagoras' constant.
There are several different ways to express as an infinite product. One way is
another is
- 1
- Flannery, David. The square root of 2 : a dialogue concerning a number and a sequence. New York: Copernicus, 2006.
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"square root of 2" is owned by MathNerd.
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(view preamble)
See Also: surd
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Pythagoras' constant |
This object's parent.
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Cross-references: product, infinite, number, simple continued fraction, OEIS, sequence, decimal expansion, irrational number
There are 4 references to this entry.
This is version 7 of square root of 2, born on 2007-08-18, modified 2007-09-06.
Object id is 9874, canonical name is SquareRootOf2.
Accessed 976 times total.
Classification:
| AMS MSC: | 11A25 (Number theory :: Elementary number theory :: Arithmetic functions; related numbers; inversion formulas) |
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Pending Errata and Addenda
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