Question

( 2 + √3 ) / ( 2 - √3 ) = a + b √3​

Answer 1

( 2 + √3 ) / ( 2 - √3 )

= (2+√3)³/+(2-√3)(2+√3)

= (4+3+4√3)/(4-3)

= 7 + 4√3 = a + b √3

on comparing both sides

a =7

and b = 4