Odpowiedź:
[tex]a)\ \ \dfrac{3}{\sqrt{2}}=\dfrac{3}{\sqrt{2}}*\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{3\sqrt{2}}{\sqrt{2}*\sqrt{2}}=\dfrac{3\sqrt{2}}{2}\\\\\\b)\ \ \dfrac{15}{\sqrt{5}}=\dfrac{15}{\sqrt{5}}*\dfrac{\sqrt{5}}{\sqrt{5}}=\dfrac{15\sqrt{5}}{\sqrt{5}*\sqrt{5}}=\dfrac{\not15^3\sqrt{5}}{\not5_{1}}=3\sqrt{5}\\\\\\c)\ \ \dfrac{2\sqrt{3}}{3\sqrt{6}}=\dfrac{2}{3\sqrt{2}}*\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{2\sqrt{2}}{3\sqrt{2}*\sqrt{2}}=\dfrac{2\sqrt{2}}{3*2}=\dfrac{\not2^1\sqrt{2}}{\not6_{3}}=\dfrac{\sqrt{2}}{3}[/tex]
[tex]d)\ \ \dfrac{\sqrt{\not7}}{\sqrt{\not70_{10}}}=\dfrac{1}{\sqrt{10}}*\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{\sqrt{10}}{\sqrt{10}*\sqrt{10}}=\dfrac{\sqrt{10}}{10}\\\\\\e)\ \ \dfrac{20}{\sqrt{10}}=\dfrac{20}{\sqrt{10}}*\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{20\sqrt{10}}{\sqrt{10}*\sqrt{10}}=\dfrac{\not20^2\sqrt{10}}{\not10_{1}}=2\sqrt{10}[/tex]
