计算:(15√1/3+√45)(√75-15√1/5)
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:2024/07/24 15:15:43
计算:(15√1/3+√45)(√75-15√1/5)
![计算:(15√1/3+√45)(√75-15√1/5)](/uploads/image/z/13062113-17-3.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A%EF%BC%8815%E2%88%9A1%2F3%2B%E2%88%9A45%EF%BC%89%EF%BC%88%E2%88%9A75-15%E2%88%9A1%2F5%EF%BC%89)
(15√1/3+√45)(√75-15√1/5)
=[√(15×15×1/3)+√45][√75-√(15×15×1/5)]
=(√75+√45)(√75-√45)
=75-√(75×45)+√(45×75)-45
=75-45
=30
=[√(15×15×1/3)+√45][√75-√(15×15×1/5)]
=(√75+√45)(√75-√45)
=75-√(75×45)+√(45×75)-45
=75-45
=30