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

[abdulmohsen]

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

[HallsofIvy]

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?

[abdulmohsen]

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

[zyh]

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?

This can be found here: http://en.wikipedia.org/wiki/Square_root_of_2
and here: http://www.geocities.com/mathimoh/essay3.html.html

[ytoruno]

use Irrational_check(sqrt(2)^3)