Question

设x=根号2001-根号2000,y=根号2000-根号1999,x,y的大小关系是

Answer 1

1/x=1/(√2001-√2000)

=(√2001+√2000)/(√2001+√2000)(√2001-√2000)

=(√2001+√2000)/(2001-2000)

=√2001+√2000

同理

1/y=√2000+√1999

所以1/x>1/y

x,y都是正数

分子相同

所以x