Question

how to prove 1/√2 as irrational number

Answer 1

this is the proof that 1/√2 is irrational.

Answer 2

we have to prove 1/root2 is irrational.

let's as assume the opposite.
i.e. 1/root2 is rational

hence 1/root2 can be writen inform a/b where a and b (b not equal to 0) are co-prime (no common factor other than 1)

hence

1/root2 = a/b

b/a = root2

here

b/a-->> Rational No.

root2-->> Irrational No.

since rational not equal to Irrational

this is a contradiction

Our assumption is incorrect

hence 1/root2 is irrational

hence prove...


I hope it will help you..