![\frac{ - 3}{ \sqrt{3 + \sqrt{2} } } - \frac{3 \sqrt{2} }{ \sqrt{6 + \sqrt{3} } } + \frac{4 \sqrt{3} }{ \sqrt{6 + \sqrt{2} } } \frac{ - 3}{ \sqrt{3 + \sqrt{2} } } - \frac{3 \sqrt{2} }{ \sqrt{6 + \sqrt{3} } } + \frac{4 \sqrt{3} }{ \sqrt{6 + \sqrt{2} } }](https://tex.z-dn.net/?f=+%5Cfrac%7B+-+3%7D%7B+%5Csqrt%7B3+%2B++%5Csqrt%7B2%7D+%7D+%7D++-++%5Cfrac%7B3+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B6+%2B++%5Csqrt%7B3%7D+%7D+%7D++%2B++%5Cfrac%7B4+%5Csqrt%7B3%7D+%7D%7B+%5Csqrt%7B6+%2B++%5Csqrt%7B2%7D+%7D+%7D+)
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is the correct answer ... it can be simplified further by substituting the vale of ✓5 with it's numeric value
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