Question

Answer this one please answer me

Answer 1

$\frac{ \sqrt{3} - 1}{ \sqrt{3} +1} + \frac{ \sqrt{3} +1}{ \sqrt{3 }- 1 }$

LCM  = (√3 -1)(√3+1)

[tex] \frac{( \sqrt{3} -1) ^{2} +(\sqrt{3} +1) ^{2} }{(\sqrt{3} -1)(\sqrt{3} +1)} \\ \\ [/tex]

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

(NOTE :- (√3 -1)(√3+1) = a² - b² = (√3)² - 1² = 2 )

Here , 2√3 gets cancelled ,

$\frac{8}{2}$

= 4

Hence,

OPTION (C) IS CORRECT