Question

if a= 4/3-√5, find value of a+4/a​

Answer 1

Answer:

$a = \frac{4}{3} - \sqrt{5} \\ a + \frac{4}{a} = \frac{4}{3} - \sqrt{5} + \frac{4}{ \frac{4}{3} - \sqrt{5} } \\ \frac{16}{9} + 5 - \frac{8 \sqrt{5} }{3} = \frac{16 + 45 - 24 \sqrt{5} }{9} \\ \frac{61 - 24 \sqrt{5} }{9}$

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Answer 2

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