Question

So that 5 + root 3 is irrational number given that root 3 is irrational

Answer 1

let 5+root 3 be rational
therefore, 5+root 3 = a/b
root 3 = a/b-5
root 3 = a-5b/b
irrational = rational not possible
so it is the contradiction to our supposition
therefore 5+root 3 is irrational.