In the froup Z_12, find |a|, |b|, and |a+b|a=5, b=4

necessaryh 2021-02-27 Answered

In the froup Z12, find |a|,|b|, and |a+b|
a=5,b=4

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Expert Answer

Pohanginah
Answered 2021-02-28 Author has 96 answers

Consider the provided qustion,
If a in Zn then |a|=ngcd(a,n)
here given Z12. So, n=12
Given a=5,b=4
So, a+b=5+4=9
|a|=|5|=12gcd(5,12)=121=12
|b|=|4|=12gcd(4,12)=124=3
|a+b|=|11|=12gcd(9,12)=123=4

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