to admit that sth is true, although you may not like or agree with it （勉强）承认，同意
She’s a smart woman, I grant you, but she’s no genius.
我同意你的观点，她是一个很聪明的女人，但绝不是天才。
~ (sb) (that)…
I grant you (that) it looks good, but it’s not exactly practical.
我承认你说的，它好看，可并不是很实用。
to agree to give sb what they ask for, especially formal or legal permission to do sth （尤指正式地或法律上）同意，准予，允许
~ sth
My request was granted.
我的请求得到批准。
~ sb sth
I was granted permission to visit the palace.
我获准参观宫殿。
She was granted a divorce.
她获准离婚。
The bank finally granted me a £500 loan.
银行终于同意给我贷款 500 英镑。
~ sth to sb/sth
The bank finally granted a £500 loan to me.
银行终于同意给我贷款 500 英镑。