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= 16√3 / √6+√2 × √6-√2 / √6-√2
= 16√3(√6) + 16√3(-√2) / √6(√6) + √2(√6) + √6(-√2) + √2(-√2)
= 16√18 + (-16)√6 / 6 + √12 - √12 - 2
= 16(3)√2 - 16√6 / 6 - 2
= 48√2 - 16√6 / 4
= 12√2 - 4√6