[latex]1.|sqrt{6}*sqrt{12}*sqrt{2}-(sqrt{15})^2|=|sqrt{144}-15|=|12-15|=\=|-3|=3\ 2.sqrt{18}:sqrt{2}=sqrt{9}=3\ sqrt[3]{81:3}=sqrt[3]{27}=3\ sqrt{0,18}:sqrt{2}=sqrt{0,09}=0,3\ 3*3+0,3*20=9+6=15\ 3.frac{sqrt{12}-10sqrt{27}-sqrt{75}}{sqrt{3}}+50=\=sqrt{4}-10sqrt{9}-sqrt{25}+50=2-10*3-5+50=\=2-30-5+50=17[/latex]
[latex]|sqrt{6}*sqrt{12}*sqrt{2}-(sqrt{15})^2|=|sqrt{6*12*2} -15|=|sqrt{144} -15|=|12 -15|=|-3|=3\\\(sqrt{18}:sqrt{2})*sqrt[3]{81:3}+(sqrt{0,18}:sqrt{2})*sqrt{400}= sqrt{frac{18}{2}} *sqrt[3]{27}+ sqrt{frac{0,18}{2}} *20=\\=sqrt{9} *3+ sqrt{0,09} *20=3*3+ 0,3 *20 =9+6=15[/latex] [latex]( sqrt{12}-10 sqrt{27}- sqrt{75}): sqrt{3} + 50= ( sqrt{4*3}-10 sqrt{9*3}- sqrt{25*3}): sqrt{3} + 50 =\\=( 2sqrt{ 3}-30 sqrt{3}- 5sqrt{3}): sqrt{3} + 50 = ( - 33sqrt{3}): sqrt{3} + 50 =-33+50=17[/latex]