100x101x102x103+1
=100x(100+1)x(100+2)x(100+3)+1
=100x(100+3)x(100+1)x(100+2)+1
=(100^2+3x100)x(100^2+3x100+2)+1
=(100^2+3x100)^2+2x(100^2+3x100)+1
=(100^2+3x100+1)^2
=100301^2
平方根为100301
100x101x102x103+1
=100x(100+1)x(100+2)x(100+3)+1
=100x(100+3)x(100+1)x(100+2)+1
=(100^2+3x100)x(100^2+3x100+2)+1
=(100^2+3x100)^2+2x(100^2+3x100)+1
=(100^2+3x100+1)^2
=100301^2
平方根为100301