Question

$show \: that \: 5 - \sqrt{3 \: } is \: an \: irrational$

Answer 1

5-√3 cannot be written in p/q form
so is an irrational number

Answer 2

5 is rational √3 is irrational -√3 is also irrational ...
sum of rational and irrational is irrational ...
5-√3 is irrational