Question

prove that root 2 is a rational number

Answer 1

Assume is rational, i.e. it can be expressed as a rational fraction of the form , where and are two relatively prime integers. ... However, two even numbers cannot be relatively prime, so cannot be expressed as a rational fraction; hence is irrational.

Answer 2

Let assume root 2 is irrational
If it is irrational it is in form of
P/Qform
Root2=P/Q
Root2/Q=P
Hence proved root2 is rational number