I need help wih prove (sqrt(2))^3 is irrational number

1. Sep 28, 2008

abdulmohsen

hi well i'm having truple in proving this (sqrt(2))^3 is irrational number!!

2. Sep 28, 2008

HallsofIvy

Staff Emeritus
If you think this can be proved by computer science, I can see why!

It should be very simple to prove that if a is a rational number, then so it a3. Do you know Euclid's proof that $\sqrt{2}$ is irrational?

3. Sep 29, 2008

abdulmohsen

well i need to prove the whole statement step by step how u proved it is irrational!

4. Sep 30, 2008

zyh

5. Oct 12, 2008

ytoruno

use Irrational_check(sqrt(2)^3)