Variant spelling of Alexandra, Greek feminine of Alexander meaning 'defender of men.'
Alexandrah is a variant spelling of Alexandra, the Greek feminine form of Alexander. Its core meaning is the familiar one carried by Alexander itself: defender of men, or more broadly defender of humankind.
That gives the name a long classical pedigree, with the authority of ancient Greek history and the regal weight that Alexandra has accumulated in later European use. The extra -h on the end makes Alexandrah feel more ornamental and individualized than the standard form. It keeps the same royal, classic atmosphere, but the spelling gives it a lightly modern sheen, the sort of adaptation that lets an old name feel freshly claimed. Alexandrah sounds formal without being severe, and traditional without disappearing into the crowd.