Question

prove root 5 is irrational​

Answer 1

Answer:

Let 5 be a rational number.

then it must be in form of qp where, q=0 ( p and q are co-prime)

p2 is divisible by 5.

So, p is divisible by 5.

So, q is divisible by 5.

Thus p and q have a common factor of 5.

We have assumed p and q are co-prime but here they a common factor of 5.