The word diagonalizable is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 32
Highest Scoring Words With Friends™ Play In The Letters diagonalizable
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Seven Letter Word Alert: (51 words)
abalone, abiding, aboding, adonize, aeolian, agonize, albinal, albizia, aligned, angioid, anilide, anodize, bailing, balding, balling, bandage, beading, begonia, belling, benzoid, billing, billion, binodal, blazing, boiling, bolding, bondage, dealign, dealing, dialing, diazane, diazine, diazole, dolling, eliding, galleon, gazania, geoidal, gonadal, idolize, ignoble, ionized, ladling, leading, legband, lionize, loading, lobelia, obliged, zenaida, zillion