Question

prove that 3_/5 is an irrational number if /5 irrational ​

Answer 1

Step-by-step explanation:

Let 3 root 5 be a rational number and equal to a/b where a and b are co-prime

3 root 5 = a/b

  root 5 = a/3b

By this 3 root 5 is rational

But, root 5 is irrational (Given)

Therefore we can conclude that 3 root 5 is irrational.

I hope this helped you.