Question

simplify 1 + root 7 divided by 1 minus root 7​

Answer 1

Step-by-step explanation:

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$\frac{1 + \sqrt{7} }{1 - \sqrt{7} }$

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$\implies \frac{1 + \sqrt{7} }{1 - \sqrt{7} } \\ \implies \frac{1 + \sqrt{7} }{1 - \sqrt{7} } \times \frac{1 + \sqrt{7} }{1 + \sqrt{7} } \\ \implies \frac{ {(1 + \sqrt{7}) }^{2} }{1 - 7} \\ \implies \boxed {- \frac{8 + 2 \sqrt{7} }{ 6} }$