Odpowiedź i szczegółowe wyjaśnienie:
[tex](\dfrac{\sqrt3+0,5\sqrt3}{3})^2+\dfrac{\sqrt5}{\sqrt{10}\cdot \sqrt2}=\\\\\\=(\dfrac{1,5\sqrt3}{3})^2+\dfrac{\sqrt5}{\sqrt5\cdot\sqrt2\cdot\sqrt2}=\\\\\\=(\dfrac{\frac32\sqrt3}{3})^2+\dfrac{1}{2}=\\\\=(\dfrac{3\sqrt3}{2\cdot3})^2+\dfrac12=\\\\\\=(\dfrac{\sqrt3}{2})^2+\dfrac12=\\\\=\dfrac34+\dfrac12=\\\\=\dfrac34+\dfrac24=\dfrac54=1\dfrac14[/tex]
