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[tex]6. \: \sqrt{ \frac{5}{4} } = \frac{1}{4} \sqrt{5} \: (e) \\ 7.(3 \sqrt{7} + 5)(4 \sqrt{7} - 2) \\ = 84 - 10 + 14 \sqrt{7} \\ = 74 + 14 \sqrt{7} \: (c) \\ 8. \: 2log12 - 2log6 + {2}^{2} log2 \\ = \frac{1}{2} \times 2log( \frac{12 \times 2}{6} ) \\ = \frac{1}{2} \times 2log4 \\ = \frac{1}{2} \times 2 = 1 \: (a) \\ 9. \: 5log50 + 5log \frac{1}{2} \\ = 5log(50 \times \frac{1}{2} ) \\ = 5log25 \\ = 2 \: (d)[/tex]
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