The phrase "hath look see" is an archaic way of saying "take a look." In modern English, we have many synonyms for this phrase, such as "check out," "observe," "inspect," "peruse," "examine," and "scrutinize." Each of these words carries a slightly different connotation and may be more appropriate in certain situations. For example, "inspect" implies a thorough examination, while "peruse" suggests a more casual browsing. Alternating between these synonyms can add depth and variety to your writing or conversation, allowing you to express yourself more precisely and with more nuance.