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:2024/06/24 04:52:40
![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”)](/uploads/image/z/3703336-16-6.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9A%EF%BC%88%E6%A0%B9%E5%8F%B7%E4%B8%8B%E2%80%9Cx%2B2%E4%B9%98%E4%BB%A5%E6%A0%B9%E5%8F%B7%E4%B8%8Bx%2B1%E2%80%9D%EF%BC%89%2B%EF%BC%88%E6%A0%B9%E5%8F%B7%E4%B8%8B%E2%80%9Cx-2%E4%B9%98%E4%BB%A5%E6%A0%B9%E5%8F%B7%E4%B8%8Bx-1%E2%80%9D%EF%BC%89%E5%8C%96%E7%AE%80%EF%BC%9A%EF%BC%88%E6%A0%B9%E5%8F%B7%E4%B8%8B%E2%80%9Cx%2B2%E4%B9%98%E4%BB%A5%E6%A0%B9%E5%8F%B7%E4%B8%8Bx-1%E2%80%9D%EF%BC%89%2B%EF%BC%88%E6%A0%B9%E5%8F%B7%E4%B8%8B%E2%80%9Cx-2%E4%B9%98%E4%BB%A5%E6%A0%B9%E5%8F%B7%E4%B8%8Bx-1%E2%80%9D%EF%BC%89)
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
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”)
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