(1)
√6×2√3-√24/√3
= 6√2 - 2√2
= 4√2
(2)
(√27-2√18)/√6
= (3√3 - 6√2) /(√2√3)
= 3/√2 - 6/√3
= 3√2/2 - 2√3
(3)
√32-5√(1/2)+6√(1/8)
= 4√2 - 5√2/2 + 3√2/2
= √2(4 - 5/2 + 3/2)
= 3√2