Question

prove that 2 + root 2 is irrational number​

Answer 1

Step-by-step explanation:

let's assume that 2+√2 is a rational number, where p and q are co primes

p/q=2+√2

p=(2+√2) q

therefore , p is a rational number

but 2+√2q is an irrational number

hence this is contradictory to our assumption

therefore 2+√2 is an irrational number