There is / are a laptop and some books on the table.
Question: What would be grammatical to use in the above sentence; is or are?
Grammarly (a grammar checking tool) considers, somehow, both to be incorrect; here!
Ginger (another grammar checker) finds both is and are to be correct; here!
As for as I think, when ever a noun-phrase contains two and-separated noun-phrases, the noun-phrase is considered to be plural and plural verb form is used for them. However, may be, there is more to it than just seeing an and in a phrase and using a plural verb with it.