Question

prove that 7/3 root 5 is an irrational number given that root 5 is irrational​

Answer 1

Answer:

Step-by-step explanation:

let us assume that  7/3 root 5 is an rational number

so,

     7/3 root 5 =p/q (where p and q are cooprime)

       7 root 5 =3p/q

          root5=3p/7q

         irrational=rational

this contradicts our assumption that  7/3 root 5  is a rational number

This contradiction arises due to our incorrect6 assumption that  7/3 root 5  is rational number

Therefore  7/3 root 5  is a irrational numbers

                                                HENCE PROVED