How would I show that every unit in Z[sqrt(2)] is of the form +/- (1 +/- sqrt(2) )^n ?(adsbygoogle = window.adsbygoogle || []).push({});

I can show these are all units, but I can't show every unit is one of these. From some research, I'm aware this is a special case of Dirichlet's Unit Theorem, but that is far above the level I'm working at.

Any help would be appreciated :)

Thanks

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding all units in Z[sqrt(2)]

Loading...

Similar Threads - Finding units sqrt | Date |
---|---|

I How to find admissible functions for a domain? | Jan 31, 2018 |

I How to find the matrix of the derivative endomorphism? | Oct 22, 2017 |

How do you find the coordinate of a vector with the unit vector? | Feb 26, 2012 |

Finding units in polynomial quotient rings | Oct 1, 2006 |

Help finding units in a ring | Apr 13, 2004 |

**Physics Forums - The Fusion of Science and Community**