[tex]( \sqrt{2} + \frac{3}{ \sqrt{3}} ) \div \sqrt{2} = \sqrt{2} \div \sqrt{2} + \frac{3}{ \sqrt{2} } \div \sqrt{2} = \sqrt{2} \times \frac{1}{ \sqrt{2} } + \frac{3}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } = 1 + \frac{3}{2} = \frac{5}{2} [/tex]
