please give me the answers of these two questions
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QUESTION NO. 14
√3=1.732.......
So, two irrational numbers between 2&√3 are
i}1.70546248627811687711............
ii}1.7142671188147732188416114...........
QUESTION NO. 15
![\frac{1}{1 - \sqrt{7} } = \frac{1}{1 - \sqrt{7} } \times \frac{1 + \sqrt{7} }{1 + \sqrt{7} } \\ = \frac{1 + \sqrt{7} }{(1) {}^{2} - ( \sqrt{7} ) {}^{2} } = \frac{1 + \sqrt{7} }{1 - 7} \\ = \frac{1 + \sqrt{7} }{ - 6} = - \frac{1 + \sqrt{7} }{6} \frac{1}{1 - \sqrt{7} } = \frac{1}{1 - \sqrt{7} } \times \frac{1 + \sqrt{7} }{1 + \sqrt{7} } \\ = \frac{1 + \sqrt{7} }{(1) {}^{2} - ( \sqrt{7} ) {}^{2} } = \frac{1 + \sqrt{7} }{1 - 7} \\ = \frac{1 + \sqrt{7} }{ - 6} = - \frac{1 + \sqrt{7} }{6}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B1+-++%5Csqrt%7B7%7D+%7D+++%3D++%5Cfrac%7B1%7D%7B1+-++%5Csqrt%7B7%7D+%7D++%5Ctimes++%5Cfrac%7B1+%2B++%5Csqrt%7B7%7D+%7D%7B1+%2B++%5Csqrt%7B7%7D+%7D++%5C%5C++%3D++%5Cfrac%7B1+%2B++%5Csqrt%7B7%7D+%7D%7B%281%29+%7B%7D%5E%7B2%7D++-+%28+%5Csqrt%7B7%7D+%29+%7B%7D%5E%7B2%7D+%7D++%3D++%5Cfrac%7B1+%2B++%5Csqrt%7B7%7D+%7D%7B1+-+7%7D++%5C%5C++%3D++%5Cfrac%7B1+%2B++%5Csqrt%7B7%7D+%7D%7B+-+6%7D++%3D+++-+%5Cfrac%7B1+%2B++%5Csqrt%7B7%7D+%7D%7B6%7D+)
√3=1.732.......
So, two irrational numbers between 2&√3 are
i}1.70546248627811687711............
ii}1.7142671188147732188416114...........
QUESTION NO. 15
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