比较8√7-√2与3√3+2√5大小
不用计算器或者估算…………
人气:235 ℃ 时间:2020-02-05 21:48:50
解答
(8√7-√2)²
=450-16√14
与(3√3+2√5)²
=47+12√15
假设
450-16√14>47+12√15
即
403>16√14+12√15
162409>5744+192√210
156665>192√210
显然成立,所以
8√7-√2>3√3+2√5
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