Question

evaluate the following :
$\frac{4 - \sqrt{5} }{4 + \sqrt{5} } + \frac{4 + \sqrt{5} }{4 - \sqrt{5} }$
this is the question...
pls answer... ​

Answer 1

Answer:

42/11

Step-by-step explanation:

$\frac{4 - \sqrt{5} }{4 + \sqrt{5} } + \frac{4 + \sqrt{5} }{4 - \sqrt{5} } \\ \\ = \frac{( {4 - \sqrt{5}) }^{2} + {(4 + \sqrt{5}) }^{2} }{ {4}^{2} - { \sqrt{5} }^{2} } \\ \\ = \frac{ {4}^{2} + { \sqrt{5} }^{2} - 2(4)( \sqrt{5} ) + {4}^{2} + { \sqrt{5} }^{2} + 2(4)( \sqrt{5} )}{16 - 5} \\ \\ = \frac{16 + 5 + 16 + 5}{11} \\ \\ = \frac{42}{11}$

I hope you are clear if not just comment me and mark me as the brainliest.

Answer 2

Hope it helps.

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