比较两个二次根式大小是二次根式运算中经常遇到一种类型题.有的比较简单,有的可能就无从下手,所以就此谈一谈几种方法.一、因式内移原理:若a≥b≥0时,则a≥b.例1比较23和32的大小.解:23=12,32=18.因为1218,所以2332.对于-23和-32大小比较同样适用.二、平方法原理:a≥0,b≥0 Comparing the sizes of two quadratic roots is often encountered in quadratic root-type operations. Some are relatively simple, some may not be able to start, so I would like to talk about several methods. First, the principle of internal shift: If a≥b≥0, then a≥b. Example 1 compares the sizes of 23 and 32. Solution: 23=12, 32=18. Because 1218, 2332. The same applies to the -23 and -32 size comparison. Principle of flat method: a≥0, b≥0