Show that $x^4-4$ isn't reducible over $\Bbb Q$?

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I know that $x^4-4 = (x^2)^{^2}-(2)^{^2}=(x^2-2)\cdot (x^2+2)$.

But, why isn't reducible over $\Bbb Q$?

However, the answer in my book says that it is not reducible. However, if I can separate in factors, I understand that it should be reducible. So I’m confused about the answer to my book.