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    Hey, I'm having difficulty in answering the last part of question 2, the one that reads.."By considering a = 3 − 2 2, prove that the group of invertible elements of Z[ 2] is infinite."

    It'd be very much appreciated if someone could provide me With the proof of this as it would help me to understand how to apply it to similar questions! Many thanks for any response ☺️Name:  ImageUploadedByStudent Room1457892838.691840.jpg
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    @Zacken
    Not sure if the tagging is working??


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    Zacken
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    (Original post by maths10101)
    Hey, I'm having difficulty in answering the last part of question 2, the one that reads.."By considering a = 3 − 2 2, prove that the group of invertible elements of Z[ 2] is infinite."

    It'd be very much appreciated if someone could provide me With the proof of this as it would help me to understand how to apply it to similar questions! Many thanks for any response ☺️Name:  ImageUploadedByStudent Room1457892838.691840.jpg
Views: 88
Size:  25.1 KB


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    I moved this to the right forum for you
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    (Original post by maths10101)
    Hey, I'm having difficulty in answering the last part of question 2, the one that reads.."By considering a = 3 − 2 2, prove that the group of invertible elements of Z[ 2] is infinite."It'd be very much appreciated if someone could provide me With the proof of this as it would help me to understand how to apply it to similar questions! Many thanks for any response ☺️Name:  ImageUploadedByStudent Room1457892838.691840.jpg
Views: 88
Size:  25.1 KBPosted from TSR Mobile
    Moved to maths, please post your question in the maths forum in the future.You essentially want to prove that there are an infinite number of solutions to a^2 - 2b^2 = \pm 1, them asking you to consider 3 - 2\sqrt{2} was so you could guess that if (a, b) is a positive solution to the above equation (b < a) then (a+2b, a+b) is also another solution - can you prove that this is true? It's just a bunch of plugging in.
    (Original post by Kvothe the arcane)
    Zacken
    Thank you.
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    (Original post by Zacken)
    Thank you.
    You're welcome . Thanks for your help.
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    LOL is this A-level maths? because if it is give me a heads up and save me from 2 years of it please
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    (Original post by ihatePE)
    LOL is this A-level maths? because if it is give me a heads up and save me from 2 years of it please
    It's basic first year algebra.
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    (Original post by Zacken)
    It's basic first year algebra.
    year 7 maths aye? ;-)
 
 
 
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