It's important to clean fruits and vegetables -- organic or conventionally grown -- before you eat them. Just a quick rinse under running water helps clean away microorganisms that can make you sick, plus remove any residual chemicals or pesticides that may be on conventionally grown produce. But here's an important tip: Even if you plan on peeling fruits and vegetables, rinse them first. When you peel the skin away, you can spread bacteria and chemicals from the outside of the produce to the inside. A quick rinse prevents this type of cross-contamination from happening.