Question

that prove that 2 + root 2 is not a rational number​

Answer 1

Answer:

let 2+√2 be rational

then 2+√2= p/q

√2=p/q-2

√2=-2p/q

we know that root 2 irrational

so LHS is irrational is not equal to RHS

rational so our assumption is wrong

that 2+√2 is rational therefore 2+√2 is irrational