rationalise the denominator 1/root5+root6-root2
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![\frac{1}{ \sqrt{5} } + \sqrt{6} - \sqrt{2} \\ \frac{1 + \sqrt{30} - \sqrt{10} }{ \sqrt{5} } \\ \frac{1 + \sqrt{30} - \sqrt{10} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \frac{ \sqrt{5} + \sqrt{150} - \sqrt{50} }{5} \\ \frac{ \sqrt{5} + 5 \sqrt{6 } - 5 \sqrt{2} }{5} \frac{1}{ \sqrt{5} } + \sqrt{6} - \sqrt{2} \\ \frac{1 + \sqrt{30} - \sqrt{10} }{ \sqrt{5} } \\ \frac{1 + \sqrt{30} - \sqrt{10} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \frac{ \sqrt{5} + \sqrt{150} - \sqrt{50} }{5} \\ \frac{ \sqrt{5} + 5 \sqrt{6 } - 5 \sqrt{2} }{5}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B+%5Csqrt%7B5%7D+%7D++%2B++%5Csqrt%7B6%7D++-++%5Csqrt%7B2%7D++%5C%5C++%5Cfrac%7B1+%2B++%5Csqrt%7B30%7D+-++%5Csqrt%7B10%7D++%7D%7B+%5Csqrt%7B5%7D+%7D++%5C%5C++%5Cfrac%7B1+%2B++%5Csqrt%7B30%7D++-++%5Csqrt%7B10%7D++%7D%7B+%5Csqrt%7B5%7D+%7D++%5Ctimes++%5Cfrac%7B+%5Csqrt%7B5%7D+%7D%7B+%5Csqrt%7B5%7D+%7D++%5C%5C+++%5Cfrac%7B+%5Csqrt%7B5%7D++%2B++%5Csqrt%7B150%7D+-++%5Csqrt%7B50%7D++%7D%7B5%7D++%5C%5C++%5Cfrac%7B+%5Csqrt%7B5%7D++%2B+5+%5Csqrt%7B6+%7D++-+5+%5Csqrt%7B2%7D+%7D%7B5%7D+)
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