Question

3+2√5 is irrational number

Answer 1

dude we know that root 5 is irrational from that we assume

Answer 2

let us assume that 3+2(root5) is a rational number
therefore 3+2(root5)=a/b
2(root5)=a/b-3
root5=a/2b-3
we know that a/2b-3 is a rational number
therefore root5 is a rational number
it contradicts the fact that (root5)is a irrational
so our assumption is wrong
hence provaed