necessaryh

2021-01-15

In the froup $Z}_{12$ , find |a|, |b|, and |a+b|

a=6, b=2

a=6, b=2

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Skilled2021-01-16Added 92 answers

Consider the provided qustion,

If a$\in {Z}_{n}$ then $\left|a\right|=\frac{n}{gcd(a,n)}$

here given$Z}_{12$ . So, n=12

Given a = 6, b = 2

So, a + b = 6 + 2 = 8

$\left|a\right|=\left|6\right|=\frac{12}{gcd(6,12)}=\frac{12}{6}=2$

$\left|b\right|=\left|2\right|=\frac{12}{gcd(2,12)}=\frac{12}{2}=6$

$|a+|=\left|8\right|=\frac{12}{gcd(8,12)}=\frac{12}{4}=3$

If a

here given

Given a = 6, b = 2

So, a + b = 6 + 2 = 8

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