Question

Calculati:
(√$\frac{2}{3}$+√$\frac{3}{2}$+√$\frac{1}{6}$)÷√6

Answer 1

[tex](^{\sqrt{2})} \frac{ \sqrt{2} }{ \sqrt{3} } +^{\sqrt{3})} \frac{ \sqrt{3} }{ \sqrt{2} } + \frac{1}{ \sqrt{6} } ): \sqrt{6}=\\ =( \frac{2}{ \sqrt{6} }+\frac{3}{ \sqrt{6} }+\frac{1}{ \sqrt{6} }):\sqrt{6}=\\ = \frac{6}{ \sqrt{6} } \cdot \frac{1}{ \sqrt{6} }=1[/tex]