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I'm trying to get caught up wit my abstract algebra class, but I'm getting lost with notation . Can someone help explain these things to me regarding fields?

$\mathbb{Q}$ is the field of all rational numbers? $\mathbb{Q}[x]$ is the field of rational numbers with polynomials? $\mathbb{Q}(x)$ is ??? An example like $\mathbb{Q}(\sqrt{2},\sqrt{3})$ is ??

Any insight would be great. Thank you in advance.

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