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File:Dedekind cut- square root of two.png

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Dedekind cut defining √2, an irrational number, using two sets of positive rational numbers. All those whose square is less than two (red), and those whose square is equal to or greater than two (blue).
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3363/2378 = 1.41421362489487... 577/408 = 1.41421568627451... 99/70 = 1.414285714285714... 17/12 = 1.41
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This applies worldwide. 177: 16: 1086:Квадратний корінь з двох 285: 204:a newer vector version: 92:This is a file from the 802: 772: 742: 712: 682: 652: 622: 193: 183: 173: 166: 163: 128: 96:. Information from its 212: 99:description page there 46:Size of this preview: 1117:Horizontal resolution 1076:Математична константа 823:Mathematical constant 713:Remove number borders 631:14:52, 19 August 2015 601:15:00, 19 August 2015 210: 1051:Квадратни корен из 2 781:13:18, 6 August 2015 751:13:50, 6 August 2015 721:14:05, 6 August 2015 691:15:23, 6 August 2015 661:15:26, 6 August 2015 1125:Vertical resolution 1011:Eudoksos fra Knidos 941:Coupure de Dedekind 866:Arrel quadrada de 2 52:Other resolutions: 911:Cortes de Dedekind 901:Μαθηματική σταθερά 387:author name string 372:Wikimedia username 213: 198:an older version: 1132: 1131: 1096:Căn bậc hai của 2 1081:Переріз Дедекінда 1056:Дедекиндов пресек 951:Corte de Dedekind 834:Global file usage 806: 466:copyright license 294: 280: 279: 268: 246: 245: 217: 216: 114: 113: 94:Wikimedia Commons 32:Global file usage 1136: 1114: 856:Tall de Dedekind 828:Square root of 2 793: 763: 733: 703: 673: 643: 613: 413:copyright status 394: 391: 381: 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File:Dedekind cut- square root of two.png
800 × 400 pixels
320 × 160 pixels
819 × 410 pixels
Original file
Wikimedia Commons
description page there
You can help
File:Dedekind cut sqrt 2.svg
Hyacinth
File:Dedekind cut sqrt 2.svg

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https://commons.wikimedia.org/user:Hyacinth
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Hyacinth
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