Hi,

Prove or disprove that

a. sum of two distinct irrational numbers is irrational.

b. Product of two distinct irrational numbers is irrational

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- August 27th 2011, 07:26 PMMathsNewbie0811Proofs about irrational numbers.
Hi,

Prove or disprove that

a. sum of two distinct irrational numbers is irrational.

b. Product of two distinct irrational numbers is irrational - August 27th 2011, 07:30 PMProve ItRe: I need help for these questions
- August 28th 2011, 04:44 AMmr fantasticRe: I need help for these questions
- August 29th 2011, 03:08 AMHallsofIvyRe: I need help for these questions
Or simply which was probably what Prove It intended.

- September 3rd 2011, 12:18 PMTinybossRe: I need help for these questions
I've always liked this proof that an irrational to an irrational power need not be irrational: consider . If that's rational, then we have our counterexample; otherwise, a counterexample is .