(√3+1)(√3+2)(√3-3)(√3-4)÷2√3
=(√3-1)(√3+1)(√3+2)(√3-3)(√3-4)÷[2√3(√3-1)]
=(3-1)(√3+2)(√3-3)(√3-4)÷[2(3-√3)]
=(√3+2)(4-√3)
=4√3+8-3-2√3
=5+2√3
解:(√3+1)(√3+2)(√3-3)(√3-4)÷2√3
=√3(√3+1)(√3+2)(1-√3)(√3-4)÷2√3
=-(√3+1)(√3-1)(√3+2)(√3-4)÷2
=-2(√3+2)(√3-4)÷2
=(√3+2)(4-√3)
=4√3-3+8-2√3
=5+2√3
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