根号2002-根号2001与根号2003-根号2002哪个大

2个回答

  • 这种两个被开方数差相等的比大小类型,只要取倒数就可以了

    1/(√2002-√2001)

    =(√2002+√2001)/[(√2002-√2001)(√2002+√2001)

    =√2002+√2001

    1/(√2003-√2002)

    =(√2003+√2002)/[(√2003-√2002)(√2003+√2002)]

    =√2003+√2002

    因为两个数都是正数,正数小大,它的倒数就越大

    √2003+√2002>√2002+√2001

    所以原来两数:√2002-√2001>√2003-√2002