Question

prove that √2 is an irrational number. Hence show that 3-√2 is an irrational number​

Answer 1

take 3-underoot 2 bt rational as well as co primes

since

3-underrot 2 = a/b

underoot 2 = 3 - a/b

3- a/b is rational no.
bt this contradict the fact that underoot 3 is irrsrional coz they are equal

hence we can say that our supposition is wrong and 3 - undrroot 2 is irrational no.