计算:根号(5-2根号6)+根号(7-4根号3)-根号(6-4根号2)
问题描述:
计算:根号(5-2根号6)+根号(7-4根号3)-根号(6-4根号2)
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答
√(5-2√6)+√(7-4√3)-√(6-4√2)
=√(3-2√6+2)+√(4-4√3+3)-√(4-4√2+2)
=√[(√3-√2)^2]+√[(2-√3)^2]-√[(2-√2)^2]
=√3-√2+2-√3-(2-√2)
=0