化简:(根号下“x+2乘以根号下x+1”)+(根号下“x-2乘以根号下x-1”)化简:(根号下“x+2乘以根号下x-1”)+(根号下“x-2乘以根号下x-1”)

来源:学生作业帮助网 编辑:作业帮 时间:2024/12/01 00:33:31
化简:(根号下“x+2乘以根号下x+1”)+(根号下“x-2乘以根号下x-1”)化简:(根号下“x+2乘以根号下x-1”)+(根号下“x-2乘以根号下x-1”)
x){3{flΧ۟~0BOv/ Vh>j~O6R] P$K6IE4V ;a />.od_\g bg&] ھO> t  EC"j”" "CkqFH" GSm$]ę{'>\RFϦo{p^m.[S a+K.ih=

化简:(根号下“x+2乘以根号下x+1”)+(根号下“x-2乘以根号下x-1”)化简:(根号下“x+2乘以根号下x-1”)+(根号下“x-2乘以根号下x-1”)
化简:(根号下“x+2乘以根号下x+1”)+(根号下“x-2乘以根号下x-1”)
化简:(根号下“x+2乘以根号下x-1”)+(根号下“x-2乘以根号下x-1”)

化简:(根号下“x+2乘以根号下x+1”)+(根号下“x-2乘以根号下x-1”)化简:(根号下“x+2乘以根号下x-1”)+(根号下“x-2乘以根号下x-1”)
X= 负的根号下2

解析:
原式=√[x+2√(x-1)]+√[x-2√(x-1)]
=√[x-1+2√(x-1)+1]+√[x-1-2√(x-1)+1]
=√[√(x-1}+1]^2+√[√(x-1)-1]^2=│√(x-1)+1│+│√(x-1)-1│
当1≤x≤2时,原式=√(x-1)+1+√(x-1)-1=2√(x-1),
当x>2时,原式=√(x-1)+1-√(x-1)+1=2