Can someone check this for me?

  • Thread starter Thread starter omega16
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around finding the prime factorization of the number 6 in the field Q[sqrt(-1)]. The original poster presents a factorization and seeks confirmation on the completeness of their response.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the primality of the factors presented, specifically regarding the elements 1+sqrt(-1), 1-sqrt(-1), and 3 in the context of the field Q(sqrt(-1)).

Discussion Status

The discussion is ongoing, with participants exploring the nature of the factors and their primality within the specified field. There is no explicit consensus yet on the validity of the original poster's factorization.

Contextual Notes

There appears to be a focus on the definitions of prime elements in the context of the field Q(sqrt(-1)), which may not be fully addressed in the original post.

omega16
Messages
20
Reaction score
0
Find the prime factorization of 6 in Q[sqrt(-1)].

Ans : Since 6 = 2*3
so 6 = (1+sqrt(-1)) (1-sqrt(-1)) *3 Q.E.D.

Do I need to add anything to it? Am I done with this question? Please kindly advise me. Thank you very much.
 
Physics news on Phys.org
How do you know those are prime?
 
because 2 and 3 are prime.
 
I mean 1+sqrt(-1), 1-sqrt(-1), and 3 in the field Q(sqrt(-1)).
 

Similar threads

Prove ##|\{ q\in\mathbb{Q}: q>0 \} |=|\mathbb{N}|##.
  • · Replies 3 ·
Replies
3
Views
2K
Computing the polar moment of inertia (calculus)
  • · Replies 1 ·
Replies
1
Views
2K
I cannot make the Gram-Schmidt procedure work
  • · Replies 16 ·
Replies
16
Views
3K
Perturbation Methods: Asymptotic Matching Question
  • · Replies 2 ·
Replies
2
Views
2K
Prove that if p > 3 is a prime number, then p^2 = [....]
  • · Replies 16 ·
Replies
16
Views
3K
Is Using the Comparison Test to Prove Divergence Valid for This Series?
  • · Replies 29 ·
Replies
29
Views
2K
Linear Algebra - Find an orthogonal matrix P
  • · Replies 6 ·
Replies
6
Views
4K
Mathematica Solving equation and plotting issue with Mathematica
  • · Replies 2 ·
Replies
2
Views
2K
Are the 2nd and 3rd problems in this video correctly solved? (charged dipole and organ pipe problems)
  • · Replies 3 ·
Replies
3
Views
1K
Maple Finding the solution of this long equation using Maple
  • · Replies 5 ·
Replies
5
Views
3K