Question

IF √3-1/√3+1 +√3+1/√3-1 =a+√3b,find the value of 'a' and'b'

Answer 1

$\frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 } + \frac{ \sqrt{3} + 1}{ \sqrt{3} - 1 } = a + \sqrt{3} b \\ \\ \frac{( { \sqrt{3} - 1 })^{2} + ( { \sqrt{3} + 1 })^{2} }{3 - 1} = a + \sqrt{3} b \\ \\ \frac{2(3 + 1)}{2} = a + \sqrt{3} b \\ \\ 4 = a + \sqrt{3} b \\ \\ comparing \: \: both \: \: sides \\ a = 4 \: \: \: \: \: \: b = 0$