![\frac{5 \: + \sqrt{3} }{ 3 \: + \sqrt[2]{3} } = \: a + b](https://tex.z-dn.net/?f=+%5Cfrac%7B5+%5C%3A++%2B++%5Csqrt%7B3%7D+%7D%7B+3+%5C%3A++%2B++%5Csqrt%5B2%5D%7B3%7D+%7D++%3D++%5C%3A+a+%2B+b "\frac{5 \: + \sqrt{3} }{ 3 \: + \sqrt[2]{3} } = \: a + b")
find the value of a and b
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