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 relates to things that cannot be explained easily, focusing on mystery.
Inextricable involves something that cannot be separated or untangled, often used in complex situations.
Remember that inexplicable ends in -able suggesting a state of being unable to explain, while inextricable suggests something cannot be extracted or untangled.
Think of explicable as being able to provide a reason – its negative form inexplicable means you can't.
The extri in inextricable shares the concept of extraction, making it easier to link to tangling or intertwining intervened elements.