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1) $2* \frac{ \sqrt{3}}{2} * \frac{ \sqrt{6} }{3} = \frac{ \sqrt{18}}{3} = \frac{3 \sqrt{2} }{3} = \sqrt{2}$

2) $\frac{3* \sqrt{2}* \sqrt{10} }{3*2} = \frac{ \sqrt{20} }{2} = \frac{2 \sqrt{5} }{2} = \sqrt{5}$

3) $\frac{4 \sqrt{3} }{ \sqrt{12} } = \frac{4 \sqrt{3} }{2 \sqrt{3} } = 2$

4) $\frac{ \sqrt{18} }{6 \sqrt{2} } = \frac{3 \sqrt{2} }{6 \sqrt{2} } = \frac{3}{6} = \frac{1}{3}$

5) $\frac{ \sqrt{2} }{ \sqrt{2}+ \sqrt{8} } = \frac{ \sqrt{2} }{ \sqrt{2}+2 \sqrt{2} } = \frac{ \sqrt{2} }{3 \sqrt{2} } = \frac{1}{3}$

6) $\frac{ \sqrt{8} }{ \sqrt{8}- \sqrt{2} } = \frac{2 \sqrt{2} }{2 \sqrt{2}- \sqrt{2} } = \frac{2 \sqrt{2} }{ \sqrt{2} } = 2$