prove that 2+root5 is an irrational number. Share with your friends Share 1 Pooja answered this Here is the link given below for the answer similar to your query : https://www.meritnation.com/discuss/question/4686603/1/ 4 View Full Answer Darshita answered this 2+root5Let, p/q is irrational nos.p/q=2+root5p/q=2+root5p/q-2=root5p-2q=root5therefore, root 5 irrational. 2+root5 is irrational hence our supposition contradictstherefore, 2+root 5 is irrational no.hope its help!!:) 5