Question

Prove that 1/√2 is irrational

Answer 1

Answer:

Step-by-step explanation:

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

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

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