Question

Prove that the following are irrationals:
(i)1/root 2​

Answer 1

just assume that 1/√2 is a rational and continue the problem

at last you will identify that the assumption you took was wrong

hope you will find the solution by using these hints

Answer 2

Answer:

1/root 2 is irrational . proved

Step-by-step explanation:

Let1/ root 2 be a rational number and

1/root 2=p/q (where p and q are co-prime, q is not equal to zero)

root 2 = q /p

since, p and q are co- primes , we get that q/p is rational and so root 2 is also rational.

But this contradicts that root 2 is irrational.

This contradiction has arisen due to our incorrect assumetion that 1/root 2 is rational.

so, we concluded that 1/root 2 is irrational.

proved.