{"title":"Geometric Proofs that √3, √5 and √7 are Irrational","authors":"R. Podestá","doi":"10.1080/0025570X.2023.2168436","DOIUrl":null,"url":null,"abstract":"Summary We give a geometric proof that is irrational for n = 3, 5, 7 by adapting Tennenbaum’s geometric proof that is irrational. We also show that this method cannot be used to prove the irrationality of for a bigger n.","PeriodicalId":18344,"journal":{"name":"Mathematics Magazine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0025570X.2023.2168436","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Summary We give a geometric proof that is irrational for n = 3, 5, 7 by adapting Tennenbaum’s geometric proof that is irrational. We also show that this method cannot be used to prove the irrationality of for a bigger n.