Question

请问（根号6）-2与2-（根号2)如何比较大小?不用计算器.

Answer 1

（根号6）-2

=(√6-2)(√6+2)/(√6+2)

=(6-4)/(√6+2)

=2/(√6+2)

2-√2

=2/(2+√2)

∵√6+2>2+√2>0

∴2/(√6+2)