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Prove that 1/√2 is irrational

User SmithPlatts
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15 votes

Answer:

Explanation:

  • Let's assume that it is rational , so this number can be represented as


\Large \boldsymbol{}\bf (p^(^/is \ an \ integer))/(q^( / natural)) -irreducible \ \ fraction


\Large \boldsymbol{}\bf (1 ^(/ an \ integer ))/(√(2)^( / not \ \ integer ) ) -Since the denominator is not a natural number then the 1/√2 is respectively an irrational number

User Fallerd
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