√2005√2004√2003√2002×2000+1 +1 +1 +1

来源：百度知道 编辑：UC知道 时间：2024/05/09 20:11:07
初二的一道题
最后结果为2004 我要过程

2002×2000+1=（2001+1）（2001-1）+1=2001^2,按这个思路会了吧？
补充：还不够明白？
√2005√2004√2003√2002×2000+1 +1 +1 +1=
√2005√2004√2003√（2001+1）（2001-1）+1 +1 +1 +1=
√2005√2004√2003√2001^2-1+1 +1 +1 +1=
√2005√2004√2003√2001^2 +1 +1 +1=
√2005√2004√2003*2001 +1 +1 +1=
√2005√2004√（2002+1）（2002-1）+1 +1 +1=
√2005√2004√2002^2+1 +1=
√2005√2004*2002 +1 +1=
√2005√(2003+1)*(2003-1) +1 +1=
√2005√2003^2+1=√2005*2003+1=√（2004+1）（2004-1）+1=√2004^2
=2004