How to use "go + verb"
1. Let's go get some dringks.
2. Let's go shopping.
3. Let's go play basketball.

Among above I learned 1 and 2 are correct, but I don't know about 3. Would you tell me how (why) each sentense above is either correct or incorrect?

I appreciate your response.

Question

How to use "go + verb"
1. Let's go get some dringks.
2. Let's go shopping. 
3. Let's go play basketball.

Among above I learned 1 and 2 are correct, but I don't know about 3. Would you tell me how (why) each sentense above is either correct or incorrect?

I appreciate your response.

Answer

All three of your sentences are correct. And this is a very important and tricky topic in English. There are almost innumerable verb clauses that use "go".  Examples: to go crazy, to go postal, to go back, to go under, to go around, to go through, and to go down. If a destination is the subject of a sentence with the word "go," you will need to use the preposition "to" (example: She is going to Albany for Christmas. He is going to college next fall.)

Answer

All three are correct.

1) and 3) are similar. "Let's go + verb".
2) "Let's go + gerund/verbal noun".

Let's go get some drinks.
Let's go play basketball.
Let's go fish.
Let's go eat dinner.

Let's go shopping.
Let's go fishing.
Let's go swimming.

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