Question

prove that 2 + 2 root 3 irrational number​

Answer 1

Step-by-step explanation:

let us assume that 2+2√3 is rational

we find 2 co-prime integers a And b so that

2+2√3 = a/b

2√3 = a/b - 2

√3 = a/2b - 1

since a , 2 ,b and 1 are integers

a/2b - 1 is rational and hence , √3 is rational

but we know for a fact that √3 is irrational and hence our assumption is wrong

and hence, 2+2√3 is irrational