In the froup Z_12, find |a|, |b|, and |a+b| a=6, b=2

necessaryh 2021-01-15 Answered
In the froup Z12, find |a|, |b|, and |a+b|
a=6, b=2
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Expert Answer

tafzijdeq
Answered 2021-01-16 Author has 92 answers
Consider the provided qustion,
If a Zn then |a|=ngcd(a,n)
here given Z12. So, n=12
Given a = 6, b = 2
So, a + b = 6 + 2 = 8
|a|=|6|=12gcd(6,12)=126=2
|b|=|2|=12gcd(2,12)=122=6
|a+|=|8|=12gcd(8,12)=124=3
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