Bună!
a)
[tex]a = \sqrt{5} (4 \sqrt{2} - 3 \sqrt{5} ) - 2(2 \sqrt{10} + 3) \\ a = 4 \sqrt{10} - 3 \sqrt{25} - 4 \sqrt{10} - 6 \\ a = - 3 \times 5 - 6 \\ a = - 15 - 6 \\ a = - 21[/tex]
b)
[tex]b = 2 \sqrt{7} (3 - \sqrt{3} ) + 2(4 + \sqrt{21} ) - 6 \sqrt{7} \\ b = 6 \sqrt{7} - 2 \sqrt{21} + 8 + 2 \sqrt{21} - 6 \sqrt{7} \\ b = 8[/tex]
c)
[tex]c = \sqrt{12} ( \sqrt{32} - 3\sqrt{3} ) - 4(7 + 2 \sqrt{6} ) \\ c = 2 \sqrt{3} (4 \sqrt{2} - 3\sqrt{ 3} ) - 28 - 8 \sqrt{6} \\ c = 8 \sqrt{6} - 6 \sqrt{9} - 28 - 8 \sqrt{6} \\ c = - 6 \times 3 - 28 \\ c = - 18 - 28 \\ c = - 46[/tex]
d)
[tex]d = \sqrt{48} ( \sqrt{8} - \sqrt{3} ) - 2 \sqrt{2} (4 \sqrt{3} - \sqrt{2} ) \\ d = 4 \sqrt{3} (2 \sqrt{2} - \sqrt{3} ) - 8 \sqrt{6} + 2 \sqrt{4 } \\ d = 8 \sqrt{6} - 4 \sqrt{9} - 8 \sqrt{6} + 2 \times 2 \\ d = - 4 \times 3 + 4 \\ d = - 12 + 4 \\ d = - 8[/tex]