1 by root3 -2 + 1 by root3 + 3
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![given \: \: \frac{1}{ \sqrt{3 } - 2 } + \frac{1}{ \sqrt{3} + 3 } \\ \\ = > \frac{1}{ \sqrt{3} - 2 } = \frac{( \sqrt{3} + 2) }{( \sqrt{3} - 2) \sqrt{3} - 2) } = \frac{ \sqrt{3} + 2 }{3 - 4} = \\ \\ \frac{ \sqrt{3} + 2 }{ - 1} = - ( \sqrt{3} + 2) + \\ \\ = > \frac{1}{ \sqrt{3} + 3 } = \frac{( \sqrt{3} - 2) }{( \sqrt{3} + 2)( \sqrt{3} + 2) } = \frac{( \sqrt{3} - 2) }{3 - 4} = \\ \\ \frac{( \sqrt{3} - 2) }{ - 1} = - ( \sqrt{3} - 2) = - \sqrt{3} + 2 \\ \\ if \: \: we \: add \: these \: \: two \: \: equation \: \: \\ \\ = > \sqrt{3} - 2 + ( - \sqrt{3} + 2) \\ = > - \sqrt[2]{3} \: \: \: \: \: \: \: \: \: \: \: \: answer](https://tex.z-dn.net/?f=given+%5C%3A++%5C%3A++%5Cfrac%7B1%7D%7B+%5Csqrt%7B3+%7D+-+2+%7D+%2B++%5Cfrac%7B1%7D%7B+%5Csqrt%7B3%7D+%2B+3+%7D+++%5C%5C++%5C%5C+++%3D++%26gt%3B+%5Cfrac%7B1%7D%7B+%5Csqrt%7B3%7D+-+2+%7D++%3D++%5Cfrac%7B%28+%5Csqrt%7B3%7D+%2B+2%29+%7D%7B%28+%5Csqrt%7B3%7D+++-+2%29+%5Csqrt%7B3%7D+-+2%29+%7D++%3D++%5Cfrac%7B+%5Csqrt%7B3%7D+%2B+2+%7D%7B3+-+4%7D++%3D++%5C%5C++%5C%5C++%5Cfrac%7B+%5Csqrt%7B3%7D+%2B+2+%7D%7B+-+1%7D++%3D++-+%28+%5Csqrt%7B3%7D++%2B+2%29+%2B++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B1%7D%7B+%5Csqrt%7B3%7D+%2B+3+%7D++%3D++%5Cfrac%7B%28+%5Csqrt%7B3%7D+-+2%29+%7D%7B%28+%5Csqrt%7B3%7D++%2B+2%29%28+%5Csqrt%7B3%7D+%2B+2%29+%7D++%3D++%5Cfrac%7B%28+%5Csqrt%7B3%7D+-+2%29+%7D%7B3+-+4%7D++%3D++%5C%5C++%5C%5C++%5Cfrac%7B%28+%5Csqrt%7B3%7D+-+2%29+%7D%7B+-+1%7D++%3D++-+%28+%5Csqrt%7B3%7D++-+2%29+%3D++-++%5Csqrt%7B3%7D++%2B+2+%5C%5C++%5C%5C+if+%5C%3A++%5C%3A+we+%5C%3A+add+%5C%3A+these+%5C%3A++%5C%3A+two+%5C%3A++%5C%3A+equation+%5C%3A++%5C%3A++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Csqrt%7B3%7D++-+2+%2B+%28+-++%5Csqrt%7B3%7D++%2B+2%29+%5C%5C++%3D++%26gt%3B++-++%5Csqrt%5B2%5D%7B3%7D++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+answer "given \: \: \frac{1}{ \sqrt{3 } - 2 } + \frac{1}{ \sqrt{3} + 3 } \\ \\ = > \frac{1}{ \sqrt{3} - 2 } = \frac{( \sqrt{3} + 2) }{( \sqrt{3} - 2) \sqrt{3} - 2) } = \frac{ \sqrt{3} + 2 }{3 - 4} = \\ \\ \frac{ \sqrt{3} + 2 }{ - 1} = - ( \sqrt{3} + 2) + \\ \\ = > \frac{1}{ \sqrt{3} + 3 } = \frac{( \sqrt{3} - 2) }{( \sqrt{3} + 2)( \sqrt{3} + 2) } = \frac{( \sqrt{3} - 2) }{3 - 4} = \\ \\ \frac{( \sqrt{3} - 2) }{ - 1} = - ( \sqrt{3} - 2) = - \sqrt{3} + 2 \\ \\ if \: \: we \: add \: these \: \: two \: \: equation \: \: \\ \\ = > \sqrt{3} - 2 + ( - \sqrt{3} + 2) \\ = > - \sqrt[2]{3} \: \: \: \: \: \: \: \: \: \: \: \: answer")
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Solution is here ⬇⬇⬇
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Raghav3333:
nice di
:) thanks bhai
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