In the froup Z_12, find |a|, |b|, and |a+b|a=3, b=8

texelaare 2020-12-30 Answered

In the froup Z12, find |a|,|b|, and |a+b|
a=3,b=8

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Expert Answer

Talisha
Answered 2020-12-31 Author has 93 answers

Consider the provided qustion,
If a Zn then |a|=n/(gcd(a,n))
here given Z12. So, n=12
Given a=6,b=2
So, a+b=6+2=8
|a|=|3|=12gcd(3,12)=123=4
|b|=|8|=12gcd(8,12)=124=3
|a+b|=|11|=12gcd(11,12)=121=12

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