How Can I Prove (a+b√2,+,*) is an Integral Domain where a and b belong to rational numbers?
All I know is R is an integral Domain if it is a commutative ring and has no zero divisors.
2026-03-25 04:35:39.1774413339
Integral Domains And Fields
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Hint: You can actually prove that it's a field: find the inverse of $a+b\sqrt2$.
You also have to prove that $a^2\ne 2b^2$ unless $a=b=0$.