Here's what rhymes with unimpedable.
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unimpeachable teachable impeachable reachable treatable unbeatable teetotal unteachable repeatable unrepeatable uneatable interpretable peaceable feasible achievable seasonal appreciable unspeakable believable redeemable indefeasible irredeemable perceivable unfeasible inappreciable teacupful cleanable freezable regional agreeable unreasonable conceivable receivable unbelievable irretrievable useable retrievable nonseasonal concealable resealable squeezable unuseable nonredeemable inconceivable foreseeable interregional unforeseeable disagreeable paracetamol