to hang up (e.g. a coat, a picture on the wall); to let hang; to put on (e.g. a blanket); to put on top of; to put on (glasses, etc.); to wear (a necklace, etc.); to make (a call)
Examples (4 in total)
きみは英語にみがきをかけるべきだ。
You have to polish your English.
ケンは、英語にみがきをかけたいと思っている。
Ken wishes to brush up his English.
彼女は英語をやり直してみがきをかけるために留学した。
She studied abroad in order to brush up her English.
会話力にみがきをかけるため、彼はフランスに行った。
He went to France to brush up on his speaking ability.