Question

Given root5 is irrational prove that 3 root5-8 is an irrational number

Answer 1

Step-by-step explanation:

given=√5 is irrational

to show=3√5-8 is irrational

let us assume 3√5-8 as rational

a/b=3√5-8

a/b+8=3√5

(a/b+8)/3=√5

since its given that root 5 is irrational so its proved that 3√5-8 is irrational.