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

AI Thread Summary
The discussion centers on proving that (sqrt(2))^3 is an irrational number. It emphasizes that if a number 'a' is rational, then a^3 should also be rational. The conversation references Euclid's proof of the irrationality of sqrt(2) and seeks a step-by-step demonstration of this proof. Additionally, there is a suggestion that computer science methods could be utilized to assist in the proof. Resources such as Wikipedia and a specific website are mentioned for further exploration of the topic. The user expresses a need for clarity and detailed explanation in the proof process.
abdulmohsen
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hi well I'm having truple in proving this (sqrt(2))^3 is irrational number!
 
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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?
 
well i need to prove the whole statement step by step how u proved it is irrational!
 
use Irrational_check(sqrt(2)^3)
 

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