Question

Prove that (4-5√2) is an international number

Answer 1

Answer:

International or irrational

Answer 2

Answer:

Since a, b are integers, then (a − 4b)/(−5b) represents a rational number. But this is a contradiction since RHS is a rational number where as LHS (√2) is an irrational number. Hence our assumption that " 4−5√2 = (a/b) is a rational number" is incorrect.