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  • 10-08-2021
  • Mathematics
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Prove that 1/√2 is irrational

Respuesta :

kamilmatematik100504
kamilmatematik100504 kamilmatematik100504
  • 10-08-2021

Answer:

Step-by-step explanation:

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

[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]

[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex]  -Since the denominator is not a natural number then the  1/√2   is respectively an irrational number

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