Answer
$(c)\; 1+\sqrt{3}$
Work Step by Step
The given expression is
$=\frac{\sqrt{2}}{1-\sqrt{3}}$
To rationalize the denominator, multiply both the numerator and the denominator by conjugate of the denominator.
The conjugate of the denominator is $1+\sqrt{3}$.
Hence, the correct option is $(c)\; 1+\sqrt{3}$.