Question

prove that 3+ root 5 is an irrational Number....​

Answer 1

Answer:

Step-by-step explanation:

let us assume that 3+root5 is a rational number.

3+root5=p/q (where p and q are cooprime)

root5=p/q-3

root5=p-3/q

irrrational=rational

this contradicts our assumption that 3+root5 is rational number

This contradiction arises due to our incorrect assumption that 3+root5 is a rational number

Therefore 3+root5 is a Irrational number

                                           

                                                   HENCE PROVED