Let $\mathrm { f } ( \mathrm { x } ) = \min \left\{ \sqrt { 2 } \mathrm { x } , \mathrm { x } ^ { 2 } \right\}$ and $\mathrm { g } ( \mathrm { x } ) = | x | \left[ x ^ { 2 } \right ]$
If $x \in ( - 2,2 )$ then sum of all values of $f ( x )$ at those $x$ values where $g ( x )$ is non-differentiable ([.] denotes GIF).
(A) $2 - \sqrt { 3 }$
(B) $1 / - \sqrt { 3 }$
(C) [answer]
(D) $2 - \sqrt { 2 }$