参考・概略です
(√6＋2√2)²＝(√6)²＋2(√6)(2√2)＋(2√2)²＝6＋8√3＋8＝14＋8√3
－√3(3√3＋8)＝－9－8√3
以上から
(√6＋2√2)²－√3(3√3＋8)
＝14＋8√3－9－8√3
＝5
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