[tex]( \sqrt{27}+ \sqrt{12}- \sqrt{75})* \sqrt{3}=(3 \sqrt{3}+2 \sqrt{3}-5 \sqrt{3})* \sqrt{3}=[/tex][tex](3+2-5)* \sqrt{3} =0 \sqrt{3}=0 [/tex]
[tex]|3- \sqrt{5}|+| \sqrt{5}+ \sqrt{3}|+| \sqrt{3}+2|= 3- \sqrt{5}+ \sqrt{5}+ \sqrt{3}+ \sqrt{3}+2[/tex][tex]=5+2 \sqrt{3} [/tex] ≈ 8.4641
[tex](2 \sqrt{8}+3 \sqrt{18}-13 \sqrt{2})* \frac{1}{ \sqrt{2} }= (4 \sqrt{2}+9 \sqrt{2}-13 \sqrt{2})* \frac{1}{ \sqrt{2} }=0*\frac{1}{ \sqrt{2} }=0[/tex]