2/√2*(2√12+4√1/8-3√48)

2/√2*(2√12+4√1/8-3√48)


2/√2*(2√12+4√1/8-3√48)
=√2×(4√3+√2-12√3)
=√2×(√2-8√3)
=2-8√6;
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2√12(3√48-4√1/8)-2(√1/8-3√27)


Original formula = (4 root 3) (12 root 3 -- root 2) -- 2 (root 2 / 4 -- 9 root 3)
=144 -- 4 radical 6 -- (radical 2) / 2 + 18 radical 3



①(1/2√3+√8)(√8-1/2√3) ②(10√48-6√27+4√12)÷√6
③(√2-√12)(√18+√48)


① The original formula = (√ 8) & # 178; - (1 / 2 √ 3) & # 178; = 8-1 / 12 = 95 / 12
② The original formula = (40 √ 3-18 √ 3 + 8 √ 3) △ 6 = (30 √ 3) × (√ 6 / 6) = 15 √ 2
③ The original formula = (√ 2-2 √ 3) (3 √ 2 + 4 √ 3) = 6 + 4 √ 6-6 √ 6-24 = - 2 √ 6-18