Given $\alpha,\beta,\gamma$ such that $\alpha+\beta+\gamma=2,\alpha^2+\beta^2+\gamma^2=6,\alpha^3+\beta^3+\gamma^3=8$,then the value of $\alpha^4+\beta^4+\gamma^4$ is equal to

Question

$\begin{array}{1 1}(A)\;5&(B)\;12\\(C)\;18&(D)\;36\end{array}$