Odpowiedź:
a)
[tex](3 - \sqrt{2} )( \sqrt{2} - 1) = 3 \sqrt{2} - 3 - \sqrt{2} \sqrt{2} - \sqrt{2} \times ( - 1 ) = 3 \sqrt{2} - 3 - 2 + \sqrt{2} = 4 \sqrt{2} - 5[/tex]
b)
[tex] \sqrt{3 } - (4 \sqrt{3} + 3 - 20 - 5 \sqrt{3} ) = \sqrt{3} - ( - \sqrt{3} - 17) = \sqrt{3} + \sqrt{3} + 17 = 2 \sqrt{3} + 17[/tex]
c)
[tex]( \sqrt{5} - 1)( \sqrt{5} + 1) = \sqrt{5} {}^{2} - 1 {}^{2} = 5 - 1 = 4[/tex]
d)
[tex]( \sqrt{3} - 2)(5 + \sqrt{2} ) - \sqrt{6} = 5\sqrt{3} + \sqrt{6} - 10 - 2 \sqrt{2} - \sqrt{6} = 5 \sqrt{3} - 10 - 2 \sqrt{2} [/tex]
