先化简,再求值:a^2-2a+1/a-1-根号a^2-2a+1/a^2-a 其中a=1/3+2根号2
展开全部
先化简,再求值:a^2-2a+1/a-1-根号a^2-2a+1/a^2-a 其郑岩锋中a=1/3+2根号2
a^2-2a+1/a-1-根号a^2-2a+1/a^2-a
=(a-1)^2/(a-1) - √(a-1)^2/a(a-1)
=(a-1)-(a-1)/a(a-1)
=a-1-1/a
∵a=1/喊晌3+2根号2
a=(3-2√2)/(9-8)=3-2√2
∴a-1-1/枣孝a
=3-2√2-1-1/(3-2√2)
=3-2√2-1-(3+2√2)
=-4√2-1
a^2-2a+1/a-1-根号a^2-2a+1/a^2-a
=(a-1)^2/(a-1) - √(a-1)^2/a(a-1)
=(a-1)-(a-1)/a(a-1)
=a-1-1/a
∵a=1/喊晌3+2根号2
a=(3-2√2)/(9-8)=3-2√2
∴a-1-1/枣孝a
=3-2√2-1-1/(3-2√2)
=3-2√2-1-(3+2√2)
=-4√2-1
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
