Verified answer

[tex] \frac{2}{2 \sqrt{3} } = \frac{2 \times 2 \sqrt{3} }{2 \sqrt{3} \times 2 \sqrt{3} } = \frac{4 \sqrt{3} }{12} [/tex]

[tex] \frac{10}{3 - \sqrt{5} } = \frac{10(3 + \sqrt{5}) }{(3 - \sqrt{5} )(3 + \sqrt{5}) } = \frac{30 + 10 \sqrt{5} }{9 - 5} = \frac{30 + 10 \sqrt{5} }{4} [/tex]