a)
[tex]2 \sqrt{3} + 3 \times 4 \sqrt{3} = 2 \sqrt{3} + 12 \sqrt{3} = \\ = 14 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{2} - 2 \sqrt{2} \times 2 = 5 \sqrt{2} - 4 \sqrt{2} = \sqrt{2} [/tex]
c)
[tex] \sqrt{6} \times (3 \sqrt{5} - 2 \sqrt{5} ) - \sqrt{2} \times \sqrt{15} = \\ = 3 \sqrt{30} - 2 \sqrt{30} - \sqrt{30} = 0[/tex]
d)
[tex](4 \sqrt{2} - \sqrt{2} ) \times \sqrt{2} + \sqrt{2} \times \sqrt{18} = \\ = 4 \times 2 - 2 + \sqrt{36} = 8 - 2 + 6 = 12[/tex]