Question

(4-√5)/(4+√5)+(4+√5)/(4-√5)​

Answer 1

Hope it helps u........

Answer 2

$\textit{\underline{Answer:-}}$

$\frac{4 - \sqrt{5} }{4 + \sqrt{5} } + \frac{4 + \sqrt{5} }{4 - \sqrt{5} } \\ = \frac{(4 - \sqrt{5}) {}^{2} + (4 + \sqrt{5} ) {}^{2} }{(4 + \sqrt{5})(4 - \sqrt{5} ) } \\ = \frac{(16 - 8 \sqrt{5} + 5 ) + (16 + 8 \sqrt{5} + 5)}{4 {}^{2} - ( \sqrt{5} ) {}^{2} } \\ = \frac{16 - 8 \sqrt{5} + 5+ 16 + 8 \sqrt{5} + 5}{16 - 5} \\ = \frac{32 + 10}{11} \\ = \frac{42}{11} ans..$

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