√(2-√3)怎么化简?
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:2024/06/29 01:30:27
√(2-√3)怎么化简?
![√(2-√3)怎么化简?](/uploads/image/z/5671714-58-4.jpg?t=%E2%88%9A%EF%BC%882-%E2%88%9A3%EF%BC%89%E6%80%8E%E4%B9%88%E5%8C%96%E7%AE%80%3F)
√(2-√3)
=√[(4-2√3)/2]
=√[(3-2√3+1)/2]
=√[(√3-1)^2/2]
=(√3-1)*√(1/2)
=(√3-1)√2/2
=(√6-√2)/2
=√[(4-2√3)/2]
=√[(3-2√3+1)/2]
=√[(√3-1)^2/2]
=(√3-1)*√(1/2)
=(√3-1)√2/2
=(√6-√2)/2