Verified answer

[tex] \frac{35 }{ \sqrt{7} } = \frac{35 \sqrt{7} }{ \sqrt{7} \sqrt{7} } = \frac{35 \sqrt{7} }{7} = 5 \sqrt{7} [/tex]

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