Question

Rationalise 4/(√3 - 1)

Answer 1

4/(√3 - 1) =[ 4 × (√3 +1 )] /[ (√3 +1 ) ( √3 -1)]

= [ 4( √3 +1) / ( √3 ^2 - 1^2)]

= [ 4(√3 +1 ) / ( 3 - 1) ]

= [ 4 (√3 + 1) / 2]

= [ 2( √3 +1)]

= [ 2 √3 + 2]

= 2 √3 + 2