计算:根号(5-2根号6)+根号(7-4根号3)-根号(6-4根号2)kkkkkkkkkkkkkkkkkkkkkkkk

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)
kkkkkkkkkkkkkkkkkkkkkkkk

根号(5-2根号6)+根号(7-4根号3)-根号(6-4根号2)
=根号[(根号3-根号2)^2]+根号[(2-根号3)^2]-根号[(2-根号2)^2]
=根号3-根号2+2-根号3-(2-根号2)
=0

得:根下(根3-根2)^2+根下(2-根3)^2-根下(2-根2)^2=0

√(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