no. of elements in $\mathbb Z[i]/\langle 3+i\rangle$.

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$\mathbb Z[i]/\langle 3+i\rangle$ can be represented as :$\{a+3b+\langle 3+i\rangle\big|~~a,b\in \mathbb Z\}$

How shall I find the total no. of elements in $\mathbb Z[i]/\langle 3+i\rangle$..

please provide some hint how should I proceed?

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Hint : $3 = -i$ in the given ring