Explicație pas cu pas:
[tex]\frac{1}{\sqrt{2} } + \frac{2}{\sqrt{8} } +\frac{3}{\sqrt{18} } = \frac{1}{\sqrt{2} }+ \frac{2}{2\sqrt{2} } + \frac{3}{3\sqrt{2} } = \frac{\sqrt{2} \cdot 1 }{\sqrt{2} \cdot \sqrt{2} } +\frac{\sqrt{2} \cdot 2 }{\sqrt{2} \cdot 2\sqrt{2} } + \frac{\sqrt{2} \cdot 3 }{\sqrt{2} \cdot 3\sqrt{2} } = \frac{\sqrt{2} }{2} } +\frac{2\sqrt{2} }{2 \cdot 2} +\frac{3\sqrt{2} }{3 \cdot 2} =[/tex]
[tex]\frac{\sqrt{2} }{2} } +\frac{2\sqrt{2} }{4} +\frac{3\sqrt{2} }{6} = \frac{6\sqrt{2} }{12} + \frac{6\sqrt{2} }{12}+\frac{6\sqrt{2} }{12} = \frac{18\sqrt{2} }{12} = \frac{3\sqrt{2} }{2}[/tex]
[tex]12\sqrt{3}\:-\:31\:+\:12\sqrt{3}\:-41\:=\:\:12\sqrt{3}+\:12\sqrt{3}\:-\:31\:-41=\:24\sqrt{3}\:-\:72\:[/tex]
