If you put 0 in that expression, as x tends to 0, you will get 0. So, it is continuos at 0.
You can evaluate this limit by putting zero in this expression directly, because at x tends to 0 it is not an indeterminate form. You can also rationalize this expression first, and then evaluate the expression at x tends to 0.
I would say check your calculation. On putting 0, you don't get an imaginary value. 0 is clearly in the domain of this function.