Final answer:
Simple distillation is the best method to separate a homogeneous mixture of a liquid and a solid dissolved in the liquid.
Step-by-step explanation:
When given a homogeneous mixture of a liquid and a solid dissolved in the liquid, the best method to separate the components would be simple distillation. Simple distillation is suitable when the boiling points of the components differ significantly. It involves heating the mixture to vaporize the more volatile component, condensing it, and collecting it separately. For example, if you have a solution of salt dissolved in water, simple distillation can be used to collect the pure water while leaving behind the salt.