Survey!!!!!

A survey shows that $66$ % of the people like product $p_1$ whereas $83$ % like product $p_2$ . If $x$ % like both $p_1$ and $p_2$ , find $\sqrt{x}$ .?

This question is flagged because there are multiple possible answers. The current answer assumes that everyone likes either $p_1$ or $p_2$ , which is not stated.