Question

prove that in not a rational no.
$\sqrt{5 - \sqrt{3} }$

Answer 1

it cannot be proved because

according to 3 points that is

The sum or Difference of rational number and an irrational is irrational

the product or Quotient of non zero rational number is irrational or rational

if we add , subtract , multiply or divide two irrational then the result will be rational or irrational

so it cannot be proved