[tex]x = 5 \sqrt{12} - \sqrt{75} - 2 \sqrt{27} [/tex]
[tex]x = 5 \times 2 \sqrt{3} - 5 \sqrt{3} - 2 \times 3 \sqrt{3} [/tex]
[tex]x = 10 \sqrt{3} - 5 \sqrt{3} - 6 \sqrt{3} [/tex]
[tex]x = - \sqrt{3} [/tex]
[tex]y = 5 \sqrt{24} - 3 \sqrt{54} - \sqrt{150} [/tex]
[tex]y = 5 \times 2 \sqrt{6} - 3 \times 3 \sqrt{6} - 5 \sqrt{6} [/tex]
[tex]y = 10 \sqrt{6} - 9 \sqrt{6} - 5 \sqrt{6} [/tex]
[tex]y = - 4 \sqrt{6} [/tex]
[tex]x \times y = - \sqrt{3} \times ( - 4 \sqrt{6} ) = 4 \sqrt{18} = 4 \times 3 \sqrt{2} = 12 \sqrt{2} [/tex]