初一数学(√2+√3)/(2+√6+√10+√5)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/22 23:28:57
初一数学(√2+√3)/(2+√6+√10+√5)
![初一数学(√2+√3)/(2+√6+√10+√5)](/uploads/image/z/16670802-66-2.jpg?t=%E5%88%9D%E4%B8%80%E6%95%B0%E5%AD%A6%EF%BC%88%E2%88%9A2%2B%E2%88%9A3%EF%BC%89%2F%EF%BC%882%2B%E2%88%9A6%2B%E2%88%9A10%2B%E2%88%9A5%EF%BC%89)
原式=(√2+√3)/[√3*√2+√2*√2+√5*√2+√5*√3]
=(√2+√3)/[(√3+√2)(√2+√5)]
=1/(√2+√5)
=(√5-√2)/(√2+√5)(√5-√2)
=(√5-√2)/3
=(√2+√3)/[(√3+√2)(√2+√5)]
=1/(√2+√5)
=(√5-√2)/(√2+√5)(√5-√2)
=(√5-√2)/3