To comb or brush out tangles (e.g., hair); also used to mean dissolving or mixing a solid into a liquid (e.g., dissolving sugar).
寝ぐせで絡まった髪をブラシでとかした。
I brushed out the hair tangles caused by bedhead.
セーターの毛玉を丁寧にとかして取った。
I carefully removed the sweater's fuzz balls by combing them out.
砂糖をカップの紅茶に入れてよくとかす。
Put sugar into the cup of tea and dissolve it well.