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Nesterboy [21]
3 years ago
5

Prove that 1/√2 is irrational

Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

Step-by-step explanation:

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

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

<h3>\Large \boldsymbol{}\bf \dfrac{1 ^{/ an  \ integer }}{\sqrt{2}^{ / not  \ \ integer } }  -Since the denominator is not a natural number then the  1/√2   is respectively an irrational number</h3>

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 Move all terms containing x to the left, all other terms to the right. Add 'x' to each side  of the equation. -3 + 2x + x = 3 + -1x + x
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