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# Irreducible elements and UFD watch

1. I promise this should be my last question for a while, lol!
Need help on part ii and iii, not sure on what to do at all, if you could provide me with the solution for them, it will help me a lot with the rest of the questions on this topic and will save me from posting continuously on tsr...many thanks!
2. (Original post by maths10101)
I promise this should be my last question for a while, lol!
Need help on part ii and iii, not sure on what to do at all, if you could provide me with the solution for them, it will help me a lot with the rest of the questions on this topic and will save me from posting continuously on tsr...many thanks!
For part (ii) - just prove that is prime in each of the three cases and you are done.
3. (Original post by Zacken)
For part (ii) - just prove that is prime in each of the three cases and you are done.
could you give an example for the 8+root(17 one please??
4. (Original post by maths10101)
could you give an example for the 8+root(17 one please??
5. (Original post by Zacken)
So would that means it isn't prime?

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6. So for example...
for 2, its 2^2=4, 4=2.2, therefore it is irreducible because 4 is a factor of 2 numbers
and then for 8+2*sqrt(17), one gets 4 again, which 4=2.2, therefore since it is a factor of 2 numbers, it is irreducible
same for the third one.
is this correct?
7. this one mate
8. well basically, how is 4 prime in the ring R?
9. I need help on these 2 q's....i can't do either one of i or ii, do i post a new thread for help

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