Question

Given root 5 is irrational show that seven minus root five is irrational

Answer 1

hey mate!!

here is your answer:

let us assume that 7- root 5 is rational and is equal to a/b where a and b are co primes,

so, 7-root5=a/b
7=root5+a/b
7=broot5+a/b
hece 7 is also irrational because root 5 is irrational

hope it helped!!