Question

THIS IS A QUESTION FOR THOSE WH9 SAID THAT THEY ARE MATHEMITICIAN MEANS MATHS KE JADOOGAR
$if \: \: x = \frac{ 2 + \sqrt{3} }{ 2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } + \frac{ \sqrt{3} - 1}{ \sqrt{3} + 1}$
Find value of
${x}^{2} + \: { \frac{(253)}{(x)} }^{2}$
Do it if u can

Answer 1

$<b >Hey here is your answer$

$x = \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } + \frac{ \sqrt{3} - 1}{ \sqrt{3} + 1}$

LCM of 2-\sqrt{3} , 2+\sqrt{3} and \sqrt{3}+1

$=( 2 - \sqrt{3} ) \times (2 + \sqrt{3} ) \times ( \sqrt{3} + 1)$