Question

prove 5root 5 is irrational

Answer 1

Step-by-step explanation:

First you have to prove that √5 is irrational

Then,

Let us assume to the contrary that 5√5 is a rational no.

let a and b are co- prime numbers.

5√5 = a/b

√5 = a/ 5b

As we know that √5 is irrational , so 5√5 is also an irrational no.