Question

prove that 5-✓3 is irrational ​

Answer 1

$let \: 5 - \sqrt{3} \: be \: rational \\ so \: 5 - \sqrt{3 } = r \: where \: r \: is \: rational \\ so \: \sqrt{3} = 5 - r \\ 5 - r \: is \: rational \: so \: \sqrt{3} is \: also \: rational \\ but \: \sqrt{3} isnt \: rational \\ so \: 5 - \sqrt{3} is \: irrational$