hello
兌 is a rare word in modern Chinese, we wouldn't use it alone, and we often combine it with other words, and it's often involved in money
here 兌and 換 are the same meaning, means exchange or replacement, and when we put it together, it is to emphasize that you have a "right" to exchange , especially when you hold a paper, ticket , coupon, check in your hand. Sometimes it implies that you can exchange it for better things or other things.
e.g.
when you go to a shop, talk to the clerk
我要兌換獎品
it means you've possessed a thing and you want to exchange it for the gift. What you've possessed may be a ticket, coupon or paper
and when you say
我要換獎品
it means you've got the gift and you want to exchange a new one
and when you go to the bank
我要兌換支票
it means you've had a check and you want to exchange it for cash
我要換支票
it means you've had a check and you want to exchange for a new check