Question

simplyfy each of the following 4+root5 upon 4-root 5 +4-root -5upon 4+root 5

Answer 1

Hey !


Here is yr answer
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$= > \frac{4 + \sqrt{5} }{4 - \sqrt{5} } + \frac{4 - \sqrt{5} }{4 + \sqrt{5} } \\ \\ = > \frac{4 + \sqrt{5} }{4 - \sqrt{5} } \times \frac{4 + \sqrt{5} }{4 + \sqrt{5} } + \frac{4 - \sqrt{5} }{4 + \sqrt{5} } \times \frac{4 - \sqrt{5} }{4 - \sqrt{5} } \\ \\ = > \frac{16 + 8 \sqrt{5} + 5 }{16 - 5} + \frac{16 - 8 \sqrt{5} + 5}{16 - 5} \\ \\ = > \frac{16 + 8 \sqrt{5} + 5 + 16 - 8 \sqrt{5} + 5 }{16 - 5} \\ \\ = > \frac{32 + 10}{9} \\ \\ = > \frac{42}{9} \\ \\ = > \frac{14}{3}$


Hope it hlpz.