If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$is $45^{\circ}$ then value of eccentricity $e$ is :

Question

$\begin{array}{1 1}(A)\;\sqrt {4 \pm 2 \sqrt {2}} \\(B)\;\sqrt {4 + 2 \sqrt {2}} \\(C)\;\sqrt {4 - 2 \sqrt {2}} \\(D)\;none\;of\;these \end{array}$