Question

simplify: (4+√5/4-√5) + (4-√5/4+ √5 )

Answer 1

Hope it helps ya :)....

Answer 2

Answer:

$\frac{42}{11}$

Step-by-step explanation:

$\frac{4 + \sqrt5}{4 - \sqrt5} + \frac{4 - \sqrt5}{4 + \sqrt5}$

$[\frac{4 + \sqrt5}{4 - \sqrt5}\times \frac{4 + \sqrt5}{4 + \sqrt5}] + [\frac{4 - \sqrt5}{4 + \sqrt5}\times \frac{4 - \sqrt5}{4 - \sqrt5}]$

$\frac{(4 + \sqrt5)^2}{4^2 - 5} + \frac{(4 - \sqrt5)^2}{4^2 - 5}$

$\frac{16 + 5 + 8\times \sqrt5}{11} + \frac{16 + 5 - 8\times \sqrt5}{11}$

$\frac{16 + 5 + 8\times \sqrt5 + 16 + 5 - 8\times \sqrt5}{11}$

$\frac{42}{11}$