Capable of being ascended; able to be climbed, scaled, or traversed upward.
Formed from 'ascend' plus the suffix '-ible' (capable of), an alternate spelling of '-able.' The '-ible' suffix is used when the root word is of Latin origin.
The choice between 'ascendable' and 'ascendible' shows how English loves redundancy—both are correct, but 'ascendible' sounds slightly more formal and academic, while 'ascendable' is more common in everyday usage.
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