Is it trivial that you cannot get apart 2 linked unknots?

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I have read that: a trefoil is not an unknot is not trivial in knot theory. And it put the following question in me. Is it also not trivial that you cannot get apart 2 linked unknots? I mean, is it possible that many professional mathematicians cannot instantly prove the fact without theorems of knot theory?

Let me give some details.

Initially, the link shows exactly 2 crossings at most.