Question

prove that 5√5 is an irrational number
plz say

Answer 1

let us assume the contrary fact that 5 root 5 is rational
5root5 =p/q
root 5 = 1/7 (p/q)
1/7 (p/q) is rational
so, root 5 is also a rational number
but this contradicts the fact that root 5 is irrational number
this contradiction arise due to false assumption that 5root5 is a rational number
So , we conclude 5root5 is irrational number

was that helpful ... pls answer