[tex]zad.a\\\\\dfrac{2}{\sqrt{3} } =\dfrac{2}{\sqrt{3} } \cdot \dfrac{\sqrt{3} }{\sqrt{3} } =\dfrac{2\sqrt3{} }{\sqrt{3} \cdot \sqrt{3} } =\dfrac{2\sqrt{3} }{\sqrt{3^{2} } } =\dfrac{2\sqrt{3} }{3 } \\\\\\zad.b\\\\\dfrac{\sqrt{3} }{\sqrt{7} } =\dfrac{\sqrt{3} }{\sqrt{7} } \cdot \dfrac{\sqrt{7} }{\sqrt{7} } =\dfrac{\sqrt{3\cdot 7} }{\sqrt{7\cdot 7} } =\dfrac{\sqrt{21} }{\sqrt{7^{2} } } =\dfrac{\sqrt{21} }{7} \\[/tex]
[tex]zad.c\\\\\dfrac{3\sqrt{2} }{\sqrt{10} } =\dfrac{3\sqrt{2} }{\sqrt{10} } \cdot \dfrac{\sqrt{10} }{\sqrt{10} } =\dfrac{3\sqrt{2\cdot 10} }{\sqrt{10\cdot 10} } =\dfrac{3\sqrt{20} }{\sqrt{10^{2} } } =\dfrac{3\sqrt{4\cdot 5} }{10} =\dfrac{3\cdot 2 \sqrt{5} }{10 } =\dfrac{3\sqrt{5} }{5} \\\\lub\\\\\dfrac{3\sqrt{2} }{\sqrt{10} } =3\sqrt{\dfrac{2}{10} } =3\sqrt{\dfrac{1}{5} }=\dfrac{3}{\sqrt{5} } \cdot \dfrac{\sqrt{5} }{\sqrt{5} } =\dfrac{3\sqrt{5} }{\sqrt{5\cdot 5} } =\dfrac{3\sqrt{5} }{5 }[/tex]
[tex]zad.d\\\\\dfrac{2\sqrt{2}+1 }{\sqrt{3} } =\dfrac{2\sqrt{2}+1 }{\sqrt{3} } \cdot \dfrac{\sqrt{3} }{\sqrt{3} } =\dfrac{(2\sqrt{2}+1)\cdot \sqrt{3} }{\sqrt{3^{2} } } =\dfrac{2\sqrt{6} +\sqrt{3} }{3}[/tex]
