Question

Prove that 1/ root 2 is irrational

Answer 1

Step-by-step explanation:

Let us assume opposite

1/√3 is a rational

Hence, 1/√3 can be written in a/b form

where a and b are co primes

Hence, a/b = 1/√2

b/a is a rational number

But √3 is a irrational

Since rational ≠ irrational

This is a contradiction

Hence 1/√3 is a irrational

Hence proved...