[tex] \begin{align} & (\sqrt2- \sqrt 3)(\sqrt 6- \sqrt 2) \\ &= \sqrt2 \sqrt 6+ \sqrt 2(- \sqrt 2) - \sqrt 3 \sqrt 6 - \sqrt 3(- \sqrt 2) \\ &= \sqrt{12}-2- \sqrt {18}+ \sqrt 6 \\ &= \sqrt{3.4} -2- \sqrt{9.2} + \sqrt 6 \\ &= 2 \sqrt 3-3 \sqrt 2+ \sqrt 6-2\end{align} [/tex]
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[tex] \begin{align} & (\sqrt2- \sqrt 3)(\sqrt 6- \sqrt 2) \\ &= \sqrt2 \sqrt 6+ \sqrt 2(- \sqrt 2) - \sqrt 3 \sqrt 6 - \sqrt 3(- \sqrt 2) \\ &= \sqrt{12}-2- \sqrt {18}+ \sqrt 6 \\ &= \sqrt{3.4} -2- \sqrt{9.2} + \sqrt 6 \\ &= 2 \sqrt 3-3 \sqrt 2+ \sqrt 6-2\end{align} [/tex]