[tex]1).a=4 \sqrt{10} -2 \sqrt{8} -(6+4 \sqrt{10} ) \\ a=4 \sqrt{10} -2*2 \sqrt{2} -6-4 \sqrt{10} \\ a=4 \sqrt{10} -4 \sqrt{2} -6-4 \sqrt{10} \\ a=-4 \sqrt{2} -6 \\ b=2(4+ \sqrt{21} )-6 \sqrt{7} +2 \sqrt{7} (3- \sqrt{3} ) \\ b=8+2 \sqrt{21} -6 \sqrt{7} +6 \sqrt{7} -2 \sqrt{21} \\ b=8[/tex]
[tex]c=4 \sqrt{3} ( \sqrt{8} - \sqrt{3} )-2 \sqrt{2} (3 \sqrt{3} - \sqrt{2} ) \\ c=4 \sqrt{3} (2 \sqrt{2} - \sqrt{3} )-6 \sqrt{6} +4 \\ c=8 \sqrt{6} -12-6 \sqrt{6} +4 \\ c=2 \sqrt{6} -8[/tex]
[tex]2a).2 \sqrt{132} : \sqrt{11} +14 \sqrt{30} :2 \sqrt{10} +9 \sqrt{21} : \sqrt{7} -6 \sqrt{3} = \\ =2 \sqrt{12} +7 \sqrt{3} +9 \sqrt{3} -6 \sqrt{3} =2*2 \sqrt{3} +7 \sqrt{3} +9 \sqrt{3} -6 \sqrt{3} = \\ =4 \sqrt{3} +7 \sqrt{3} +9 \sqrt{3} -6 \sqrt{3} =14 \sqrt{3} [/tex]
[tex]b).(3 \sqrt{2} - \sqrt{5} )* \sqrt{3} + \sqrt{2} ( \sqrt{3} - \sqrt{20} )+ \sqrt{5} ( \sqrt{3} + \sqrt{8} )= \\ =3 \sqrt{6} - \sqrt{15} + \sqrt{6} - \sqrt{40} + \sqrt{15} + \sqrt{40} =4 \sqrt{6} [/tex]
[tex]c). \sqrt{48} (2 \sqrt{75} - \sqrt{27} +2 \sqrt{27} )- \sqrt{48} * \sqrt{12}= \\ =2 \sqrt{3600} - \sqrt{1296} +2 \sqrt{1296} - \sqrt{576} = \\ =2*60-36+2*36-24=120-36+72-24=132[/tex]
[tex]d). \sqrt{243}* \sqrt{147} -2 \sqrt{3} *7 \sqrt{3} +3 \sqrt{8} (5 \sqrt{72} +6 \sqrt{128} )= \\ = \sqrt{35721} -42+15 \sqrt{576} +18 \sqrt{1024} = \\ =189-42+15*24+18*32=189-42+360+576=1083[/tex]
