碩学 (せきがく) uses on'yomi for both kanji. 碩 (セキ), meaning "large" or "eminent," combined with 学 (ガク) for "learning," describes a scholar with vast, profound knowledge. Wrong readings like さくがく misinterpret 碩, and せきがくう adds an unnecessary vowel, common in JLPT misreadings.
碩学 (せきがく) は、両方とも音読みです。碩は「大きい」という意味で、深い知識を持つ大学者を指します。さくがくは碩の誤読、せきがくうは余計な長音です。
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