Question

Given that root3 is an irrational number,prove that (2+root3) is an erratic al number

Answer 1

Answer:

let 2+√3=a/b is an integer

where a and b are co-prime no

2+√3=a/b

√3=a/b-2

a and b are integer

given that √3 is rational

but this contradicts the fact that √3 is irrational

So,we conclude that 2+√3 is irrational