The disappearance of the files was inexplicable.Her sudden laughter was completely inexplicable to everyone.It's inexplicable how the cat ended up on the roof.
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Inextricable
/ˌɪnɪkˈstrɪkəbəl/
Impossible to separate or escape from because it is too closely related or complex.
Examples:
Their destinies became inextricable over the years.The rope knots were so tight and inextricable.Her thoughts were entangled in an inextricable web.
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Ways to tell them apart:
Inexplicable is related to things that cannot be explained, often associated with mysterious or baffling situations.
Think of inextricable as something intertwined or tangled, which cannot be separated or undone easily.
To remember inexplicable, associate it with the root word explain – it points to things resistant to explanation.
Inextricable contains the root extricate, which means to free or release; hence, inextricable suggests the opposite – something not easily untangled.
In essence, inexplicable involves a lack of understanding, while inextricable involves a lack of separation.