Agarose gel electrophoresis is a method used for separating DNA, RNA, or proteins based on size, where negatively charged molecules migrate toward the anode under an electric field. The technique is widely applied in molecular genetics for estimating DNA fragment sizes and requires careful preparation of agarose gels with various influencing factors like agarose concentration and buffer type. Ethidium bromide is commonly used for visualization, but alternatives like SYBR Green I offer increased sensitivity with lower toxicity.