问题描述:
比较根号2020减根号下2019与根号2019减根号2018的大小
最佳答案:
√2020-√2019
=[(√2020-√2019)(√2020+√2019)]/(√2020+√2019)
=[(√2020)² -(√2019)² ]/(√2020+√2019)
=(2020-2019)/(√2020+√2019)
=1/(√2020+√2019)
同理得:
√2019-√2018=1/(√2019+√2018)
分子相同,分母越大,分数越小
∵√2020+√2019>√2019+√2018
∴√2020-√2019<√2019-√2018