Question

Prove that √7+2/√7 is an irrational number​

Answer 1

7 937253933/1000000000

Therefore, a2 is divisible by 7 and hence, a is also divisible by7.

This means, that b2 is also divisible by 7 and so, b is also divisible by 7.

Therefore, a and b have at least one common factor, i.e., 7.

But, this contradicts the fact that a and b are co-prime.