Question

If √2 is irrational number then proof that 2 + √2 is irrational number

Answer 1

Step-by-step explanation:

root2 =p/q

square it and prove it to be divisible by p and q

Answer 2

Step-by-step explanation:

let us assume that 2+√2 is rational number

(such that it is in the form of p/q in which q not equal to zero)

2+√2 = p/q

√2= p/q-2

√2=p-2 q/ q. --------------(in which -2 p and qare rational number)

however ,we can say that √2 is rational number but it is given that √2is irrational number

so our assuming is wrong that it is rational number

therefore , 2+√2 is irrational number