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3+√7/3-√7 pls help me with this sum​

Answer»

ANSWER:

\frac{3 + \sqrt{7} }{3 - \sqrt{7} } \times ( \frac{3 + \sqrt{7} }{3 + \sqrt{7} }) \\ = \frac{ ({3 + \sqrt{7} )}^{2} }{ {3}^{2 - ( { \sqrt{7} )}^{2} } } \\ \\ = \frac{9 + 7 + 6 \sqrt{7} }{2} \\ = \frac{16 + 6 \sqrt{7} }{2 } \\ = 8 + 3 \sqrt{7}


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