[tex]1a).( \sqrt{3} -1)^2+ \sqrt{12} = \sqrt{3} ^2-2* \sqrt{3} *1+1^2+2 \sqrt{3} = \\ =3-2 \sqrt{3} +1+2 \sqrt{3} =3+1=4 \\ b).( \sqrt{5} - \sqrt{3} )^2+2 \sqrt{5} * \sqrt{27} = \sqrt{5} ^2-2* \sqrt{5} * \sqrt{3} + \sqrt{3} ^2+2 \sqrt{5} *3 \sqrt{3} = \\ =5-2 \sqrt{15} +3+6 \sqrt{15} =8+4 \sqrt{15} \\ c).2( \sqrt{7} +1)^2-2( \sqrt{7} -2)^2= \\ =2( \sqrt{7}^2 +2* \sqrt{7} *1+1^2)-2( \sqrt{7} ^2-2* \sqrt{7} *2+2^2)= \\ =2(7+2 \sqrt{7} +1)-2(7-4 \sqrt{7} +4)= \\ =14+4 \sqrt{7} +2-14+8 \sqrt{7} -8=12 \sqrt{7} -6 [/tex]
[tex]d).( \sqrt{8} - \sqrt{3} )^2+( \sqrt{6} -1)( \sqrt{6} +1)= \\ (2 \sqrt{2} - \sqrt{3} )^2+( \sqrt{6} -1)( \sqrt{6} +1)= \\ =(2 \sqrt{2} )^2-2*2 \sqrt{2} * \sqrt{3} + \sqrt{3} ^2+6-1=8-4 \sqrt{6} +3+6-1= \\ =16-4 \sqrt{6} [/tex]
