1+Lg0.001+(根号下Lg²1/3-4Lg3+4)+Lg6-Lg0.02
=1+Lg10^(-3)+(根号下Lg²(3^-1)-4Lg3+4)+Lg(2*3)-Lg2*10^(-2)
=1-3+(根号下(Lg3-2)²)+lg2+lg3-1g2+2
=(2-lg3)+log3
=2
1+Lg0.001+(根号下Lg²1/3-4Lg3+4)+Lg6-Lg0.02
=1+Lg10^(-3)+(根号下Lg²(3^-1)-4Lg3+4)+Lg(2*3)-Lg2*10^(-2)
=1-3+(根号下(Lg3-2)²)+lg2+lg3-1g2+2
=(2-lg3)+log3
=2