[tex]b) \frac{6}{5 \sqrt{10} } = \frac{6 \sqrt{10} }{5 \sqrt{10} \sqrt{10} } = \frac{6 \sqrt{10} }{5 \times 10} = \frac{6 \sqrt{10} }{50} = \frac{3 \sqrt{10} }{25} [/tex]
[tex]d) \frac{ \sqrt{6} }{5 - 2 \sqrt{6} } = \frac{ \sqrt{6} \times (5 + 2 \sqrt{6}) }{(5 - 2 \sqrt{6}) \times (5 + 2 \sqrt{6}) } = \frac{ \sqrt{6} \times (5 + 2 \sqrt{6}) }{25 - 4 \times 6} = \frac{ \sqrt{6} \times (5 + 2 \sqrt{6}) }{25 - 24} = \frac{ \sqrt{6} \times (5 + 2 \sqrt{6}) }{1} = \sqrt{6} \times (5 + 2 \sqrt{6}) = 5 \sqrt{6} + \sqrt{6} + 2 \sqrt{6} = 5 \sqrt{6} + 12 [/tex]
