Question

if a = 2+√3/2 then find the value of a2 + 1/a2​

Answer 1

Answer:

$\huge\underbrace\bold\red{AnswEr}$

$( \frac{2 + \sqrt{3} }{2} ) {}^{2} + \frac{1}{(2 + \sqrt{3{) {}^{2} } } }$

$\frac{4 + 3}{4} + \frac{1}{ \frac{4 + 3}{4} }$

$\frac{7}{ \frac{4}{1} } + \frac{1}{ \frac{4}{7} }$

$= \frac{ \frac{7}{4} ( - \frac{7}{4} ) + 1}{ \frac{7}{4} }$

$= \frac{ \frac{49}{16} + 1}{ \frac{7}{4} }$

$= \frac{65}{ \frac{16}{ \frac{7}{4} } }$

$= \frac{65}{16} \times \frac{4}{7} = \frac{65}{28}$