√2003{√2002【√2001√(2000*1998+1)+1】+1}+1
=√2003{√2002【√2001√1999²+1】+1}+1
=√2003{√2002【√2001*1999+1】+1}+1
=√2003{√2002【√2000²+1】+1}+1
=√2003{√2002*2000+1}+1
=√2003{√2001²}+1
=√2003*2001+1
=√2002²
=2002
√2003{√2002【√2001√(2000*1998+1)+1】+1}+1
=√2003{√2002【√2001√1999²+1】+1}+1
=√2003{√2002【√2001*1999+1】+1}+1
=√2003{√2002【√2000²+1】+1}+1
=√2003{√2002*2000+1}+1
=√2003{√2001²}+1
=√2003*2001+1
=√2002²
=2002