Question

simplify plz fast..................!​

Answer 1

Answer:

$\textbf{\large{\underline{Solution :-}}}$

$\longrightarrow$ $\dfrac {4 + \sqrt{5}} {4 - \sqrt{5}}$ + $\dfrac{4 - \sqrt{5}} {4 + \sqrt{5}}$

$\rightarrow$ $\dfrac{(4 + \sqrt{5})(4 + \sqrt{5}) + (4 - \sqrt{5})(4 - \sqrt{5})}{(4 - \sqrt{5})(4 + \sqrt{5})}$

$\rightarrow\dfrac{16 + 4\sqrt 5 + 4\sqrt5 + 5 + 16 - 4\sqrt5 - 4\sqrt5 + 5}{(4 - \sqrt5) (4 + \sqrt5)}$

$\rightarrow$ $\dfrac{16 + 16 + 5 + 5}{(4)^2 - (\sqrt5)^2}$

$\rightarrow$ $\dfrac{42}{16 - 5}$

$\rightarrow$ $\dfrac{42}{11}$

$\therefore$ $The \: answer \: of \: this \: question \: is \: \dfrac{42}{11}$