[tex] - \sqrt{3} \times ( \frac{ - \sqrt{11} }{3} ) = \frac{ \sqrt{33} }{3} \\ \sqrt{ \frac{7}{15} } \times \sqrt{ \frac{4}{7} } = \sqrt{ \frac{7}{15} \times \frac{4}{7} } = \sqrt{ \frac{1}{15} \times 4 } = \sqrt{ \frac{4}{15} } = \frac{2}{ \sqrt{15} } = \frac{2 \sqrt{15} }{15} [/tex]
[tex] \sqrt{ \frac{12}{7} } \times \sqrt{ \frac{4}{7} } = \sqrt{ \frac{12}{7} \times \frac{4}{7} } = \sqrt{ \frac{48}{49} } = \frac{ \sqrt{48} }{ \sqrt{49} } = \frac{ \sqrt{48} }{7} = \frac{4 \sqrt{3} }{7} [/tex]
