rationalise the denominator
![\frac{3 \sqrt{2} }{ \sqrt{3 + \sqrt{6} } } - \frac{4 \sqrt{3} }{ \sqrt{6 + \sqrt{2} } } + \frac{ \sqrt{6} }{ \sqrt{2 + \sqrt{3} } } \frac{3 \sqrt{2} }{ \sqrt{3 + \sqrt{6} } } - \frac{4 \sqrt{3} }{ \sqrt{6 + \sqrt{2} } } + \frac{ \sqrt{6} }{ \sqrt{2 + \sqrt{3} } }](https://tex.z-dn.net/?f=+%5Cfrac%7B3+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B3+%2B++%5Csqrt%7B6%7D+%7D+%7D+++-++%5Cfrac%7B4+%5Csqrt%7B3%7D+%7D%7B+%5Csqrt%7B6+%2B++%5Csqrt%7B2%7D+%7D+%7D++%2B+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B+%5Csqrt%7B2+%2B++%5Csqrt%7B3%7D+%7D+%7D+)
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Solution refer to the attachment.
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