Verified answer

[tex]1) \frac{7}{ \sqrt{14} } = \frac{7 \sqrt{14} }{ \sqrt{14} \sqrt{14} } = \frac{7 \sqrt{14} }{14} = \frac{ \sqrt{14} }{2} [/tex]

[tex]2) \frac{2}{ \sqrt{11} - 3} = \frac{2( \sqrt{11} + 3)}{( \sqrt{11} - 3)( \sqrt{11} + 3)} = \frac{2( \sqrt{11} + 3)}{11 - 9} = \frac{2( \sqrt{11} + 3)}{2} = \sqrt{11} + 3[/tex]