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[tex]a. \: 7 \sqrt{20} \times ( \sqrt{1125} - \sqrt{2205} ) + 6 \sqrt{192}( \sqrt{1083} - \sqrt{300}) [/tex]
[tex]7 \sqrt{20} (15 \sqrt{5} - 21 \sqrt{5} ) + 6 \times 8 \sqrt{3} (19 \sqrt{3} - 10 \sqrt{3} )[/tex]
[tex]7 \sqrt{20} \times ( - 6 \sqrt{5} ) + 6 \times 8 \sqrt{3} \times 9 \sqrt{3} [/tex]
[tex] - 7 \times 2 \times 5 \times 6 + 6 \times 8 \times 3 \times 9[/tex]
[tex]6( - 7 \times 2 \times 5 + 8 \times 3 \times 9)[/tex]
[tex]6( - 70 + 216)[/tex]
[tex]6 \times 146[/tex]
[tex]876[/tex]
[tex]b. \: 4 \sqrt{12} \times ( \sqrt{2028} - \sqrt{2700} ) - 3 \sqrt{8} ( \sqrt{968} - \sqrt{338} )[/tex]
[tex]4 \sqrt{12} (26 \sqrt{3} - 30 \sqrt{3} ) - 3 \times 2 \sqrt{2} (22 \sqrt{2} - 13 \sqrt{2} )[/tex]
[tex]4 \sqrt{12} \times ( - 4 \sqrt{3}) - 3 \times 2 \sqrt{2} \times 9 \sqrt{2} [/tex]
[tex] - 4 \times 2 \sqrt{3} \times 4 \sqrt{3} - 3 \times 2 \times 2 \times 9[/tex]
[tex] - 4 \times 2 \times 3 \times 4 - 3 \times 2 \times 2 \times 9[/tex]
[tex]2 \times 3( - 4 \times 4 - 2 \times 9)[/tex]
[tex]2 \times 3( - 16 - 18)[/tex]
[tex]2 \times 3 \times ( - 34)[/tex]
[tex]204[/tex]
[tex]c. \: 4 \sqrt{12} \times (3 \sqrt{75} - 7 \sqrt{27} + 2 \sqrt{507} - 8 \sqrt{1200} )[/tex]
[tex]4 \sqrt{12} (15 \sqrt{3} - 21 \sqrt{3} + 26 \sqrt{3} - 160 \sqrt{3} )[/tex]
[tex]4 \sqrt{12} \times ( - 140 \sqrt{3} )[/tex]
[tex] - 4 \times 2 \sqrt{3} \times 140 \sqrt{3} [/tex]
[tex] - 4 \times 2 \times 3 \times 140[/tex]
[tex] - 3360[/tex]
[tex]d. \: \sqrt{216} \times ( \sqrt{32} - \sqrt{98} + \sqrt{200} - \sqrt{18} ) - \sqrt{21} \times ( \sqrt{175} - \sqrt{63} + \sqrt{28} )[/tex]
[tex]6 \sqrt{6} (4 \sqrt{2} - 7\sqrt{2} + 10 \sqrt{2} - 3 \sqrt{2} ) - \sqrt{21}(5 \sqrt{7} - 3 \sqrt{7} + 2 \sqrt{7} )[/tex]
[tex]6 \sqrt{6} \times 4 \sqrt{2} - \sqrt{21} \times 4 \sqrt{7} [/tex]
[tex]24 \sqrt{12} - 4 \sqrt{147} [/tex]
[tex]48 \sqrt{3} - 28 \sqrt{3} [/tex]
[tex]20 \sqrt{3} [/tex]
[tex]e. \: \sqrt{320} \times ( \sqrt{980} - \sqrt{720} + \sqrt{80} - \sqrt{405} ) + \sqrt{294} \times ( \sqrt{150} - \sqrt{486} + \sqrt{384} - \sqrt{96} )[/tex]
[tex] \sqrt{320} (14 \sqrt{5} - 12 \sqrt{5} + 4 \sqrt{5} - 9 \sqrt{5} ) + \sqrt{294} (5 \sqrt{6} - 9 \sqrt{6} + 8 \sqrt{6} - 4 \sqrt{6} )[/tex]
[tex] \sqrt{320} \times ( - 3 \sqrt{5} ) + \sqrt{264} \times 0[/tex]
[tex] - 8 \sqrt{5} \times 3 \sqrt{5} + 0[/tex]
[tex] - 8 \times 5 \times 3[/tex]
[tex] - 120[/tex]
