Răspuns:
[tex]x + y = 3 \sqrt{5} + 2 \sqrt{2} + 8 \sqrt{2} - 5 \sqrt{5} = 10 \sqrt{2} - 3 \sqrt{5} [/tex]
[tex]x - y = 3 \sqrt{5} + 2 \sqrt{2} - 8 \sqrt{2} + 5\sqrt{5} = 8 \sqrt{5} - 6 \sqrt{2} [/tex]
[tex]x \times y = (3 \sqrt{5} + 2 \sqrt{2} ) \times (8 \sqrt{2} - 5 \sqrt{5} ) = 24 \sqrt{10 } \times - 75 + 32 - 10 \sqrt{10} = 14 \sqrt{10} - 43[/tex]