[tex]zad.5\\\\\sqrt{45} =\sqrt{9\cdot 5} =\sqrt{3^{2} \cdot 5} =\sqrt{3^{2} } \cdot \sqrt{5} =3\sqrt{5} \\\\\sqrt{108} =\sqrt{36\cdot 3} =\sqrt{6^{2} \cdot 3} =\sqrt{6^{2} } \cdot \sqrt{3} =6\sqrt{3} \\\\zad.6\\\\3\sqrt{6} =\sqrt{3^{2} \cdot 6} =\sqrt{9\cdot 6} =\sqrt{54} \\\\\dfrac{1}{3} \sqrt{18} =\dfrac{\sqrt{18} }{3} =\dfrac{\sqrt{18} }{\sqrt{3^{2} } }=\dfrac{\sqrt{18} }{\sqrt{9} } =\sqrt{\dfrac{18}{9} } =\sqrt{2}[/tex]
