Explicație pas cu pas:
[tex]a)5 \sqrt{2} - \sqrt{3} + 7 \sqrt{5} - 4 \sqrt{3} + \sqrt{2} - 6 \sqrt{5} = \\ \\ (5 \sqrt{2} + \sqrt{2}) + ( - \sqrt{3} - 4 \sqrt{3}) + (7 \sqrt{5} - 6 \sqrt{5}) = \\ \\ 6 \sqrt{2} - 5 \sqrt{3} + \sqrt{5} [/tex]
[tex]b)4 \sqrt{3} - \sqrt{5} - \sqrt{6} + 8 \sqrt{3} - 4 \sqrt{6} - 7 \sqrt{5} = \\ \\ (4 \sqrt{3} + 8 \sqrt{3}) + ( - \sqrt{5} - 7 \sqrt{5}) + ( - \sqrt{6} - 4 \sqrt{6}) = \\ \\ 12 \sqrt{3} - 8 \sqrt{5} - 5 \sqrt{6} [/tex]
[tex]c)9 \sqrt{2} - 4 \sqrt{7} - \sqrt{5} - \sqrt{7} + 8 \sqrt{5} - 4 \sqrt{2} = \\ \\ (9 \sqrt{2} - 4 \sqrt{2}) + ( - 4 \sqrt{7} - \sqrt{7}) + ( - \sqrt{5} + 8 \sqrt{5}) = \\ \\ 5 \sqrt{2} - 5 \sqrt{7} + 7 \sqrt{5} [/tex]
[tex]d) \sqrt{6} - \sqrt{7} - 6 \sqrt{5} + 2 \sqrt{7} + 8 \sqrt{6} - 9 \sqrt{5} = \\ \\ ( \sqrt{6} + 8 \sqrt{6}) + ( - \sqrt{7} + 2 \sqrt{7}) + ( - 6 \sqrt{5} - 9 \sqrt{5}) = \\ \\ 9 \sqrt{6} + \sqrt{7} - 15 \sqrt{5} [/tex]
